Ramon wants to cut a rectangular board into identical square pieces. If the board is 18 inches by 30 inches, what is the least number of square pieces he can cut without wasting any of the board?

Answer:

b just answered on edge

Step-by-step explanation:

y=(1/2)^x+3. -1

The function of the graph is [tex]y = (\frac12)^{x +3} -1[/tex]

The root expression of the graph is:

[tex]y = (\frac12)^x[/tex]

The graph is first shifted to the right by 3 units.

So, we have:

[tex]y = (\frac12)^{x +3}[/tex]

Next, the graph is shifted down by 1 unit.

So, we have:

[tex]y = (\frac12)^{x +3} -1[/tex]

Hence, the function of the graph is [tex]y = (\frac12)^{x +3} -1[/tex]

Read more about function transformation at:

https://brainly.com/question/4289712

Answer:

F(t<0.1 ) = 0.91791

Step-by-step explanation:

Solution:

- Let X be an exponential RV denoting time t in hours from start of interval to until first log-on that arises from Poisson process with the rate λ = 25 log-ons/hr. Its cumulative density function is given by:

                               F(t) = 1 - e ^ ( - 25*t )                    t > 0

A) In this case we are interested in the probability that it takes t = 6/60 = 0.1 hrs until the first log-on. F ( t < 0.1 hr ), we have:

                            F(t<0.1 ) = 1 - e ^ ( - 25*0.1 )

                            F(t<0.1 ) = 0.91791

The probabilities of events in a Poisson process can be calculated using the Poisson distribution for a given number of events in a specific time frame and the exponential distribution for the time between events.

The probability of events occurring in a fixed interval of time in a Poisson process can be calculated using the Poisson distribution formula:

P(X = k) = (e-\(\lambda\)\(\lambda\)k)/k!, where \(\lambda\) is the average number of events per interval, and k is the number of events for which we want to find the probability.

For part a), we need to find the probability of no log-ons in an interval of 6 minutes. With a mean of 25 log-ons per hour, 6 minutes corresponds to \(\lambda\) = (25/60)*6. We calculate the probability for k = 0 using the Poisson Distribution.

For part b), the time between two log-ons follows an exponential distribution, which is continuous and has the probability density function f(x) = \(\lambda\)e-\(\lambda\)x. The probability that the time between two log-ons is more than one hour can be found using the complement of the cumulative distribution function for the exponential distribution.

In summary, by calculating the probabilities for part a) and b), we can use the characteristics of the Poisson and exponential distributions to find the desired probabilities.

Answer:

33 feet

Step-by-step explanation:

Use SOHCAHTOA to determine which trigonometric function to use:

sin(65)=30/x

sin(65)x=30

x=30/sin(65)

x=33.1

So the length of the ladder rounded to the nearest foot is 33 feet

6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

Step-by-step explanation:

We have , Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet: 1.25 cups of dry food. Based on these averages . We need to find  how many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks . We need to find how much they eat for 14 days as:

Trenton's pet: 4/5 cup of dry food•

With 4/5 per day , for 14 days :

⇒ [tex]14(\frac{4}{5} )[/tex]

⇒ [tex]14(0.8 )[/tex]

⇒ [tex]11.2[/tex]

Maria's pet: 1.25 cups of dry food.

With 1.25 per day , for 14 days :

⇒ [tex]14(1.25 )[/tex]

⇒ [tex]17.5[/tex]

Subtracting Maria's - Trenton's :

⇒ [tex]17.5-11.2=6.3[/tex]

That means , 6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

Final answer:

Over the course of two seven-day weeks, Maria's pet will have eaten 6.3 more cups of dry food than Trenton's pet.

Explanation:

To determine how much more food Maria's pet eats compared to Trenton's, we first need to calculate the daily difference in food consumption, before multiplying that by the number of days in two weeks (14 days).

Maria's pet eats 1.25 cups of dry food each day, while Trenton's pet eats 4/5 cups (which is equivalent to 1 cup). To find out how much more food Maria's pet eats per day, we subtract Trenton's pet's portion from Maria's:

1.25 cups - 0.8 cups = 0.45 cups

Now we multiply this daily difference by 14 to find the total difference over two weeks:

0.45 cups/day x 14 days = 6.3 cups

So, Maria's pet will have eaten 6.3 more cups of dry food than Trenton's pet over the course of two seven-day weeks.

Answer: 5-6 pints.

PLZ GIVE BRAINLEST :)

Answer:

Range from 6 to 21 pints

Step-by-step explanation:

Sweat rate is proportional to metabolic rate, and can thus amount to 3 to 4 liters per hour (6.34013-8.45351 pints) or as much as 10 liters (21.1338 pints) per day.

Answer:

Jacob

Step-by-step explanation:

Because you can tell from the top of your head that it took Jacob 10 minutes for each mile for both days. While Otto his Wednesday time and Thursday time are not the same. Otto jogged an extra 2 minutes for his 6 miles on Thursday. So I would go with Jacob

Answer:

yggt7g7\

Step-by-step explanation:

The four statements can be expressed in mathematical symbols using logical operators, predicates, and quantifiers. Conjunction of tautologies, existence of tautologies, negation of contradiction, and disjunction of contingencies have been expressed as mathematical propositions.

In the realm of propositional logic, each statement can be expressed using logical operators, predicates, and quantifiers:

A) ∀x∀y(T(x) ∧ T(y) → T(x ∧ y)) - This states that for any two propositions, if both are tautologies, the conjunction (AND operation) of the two is also a tautology.

B) ∃xT(x) - This implies that there exists at least one proposition that is a tautology.

C) ∀x(C(x) → T(¬x)) - This implies that for all propositions, if a proposition is a contradiction, the negation of that proposition is a tautology.

D) ∃x∃y(¬T(x) ∧ ¬C(x) ∧ ¬T(y) ∧ ¬C(y) ∧ T(x ∨ y)) - This states that there exist two propositions where neither is a tautology or a contradiction (i.e., both are contingencies), such that their disjunction (OR operation) can be a tautology.

https://brainly.com/question/32688455

#SPJ3

The logical expressions use quantifiers, predicates, and logical operators to express concepts about tautologies and contradictions, emphasizing that propositions have intrinsic logical properties based on their structure.

Logical expressions employ quantifiers, predicates, and logical operators to articulate concepts about tautologies and contradictions, highlighting the intrinsic logical properties of propositions.

A. The conjunction of two tautologies is a tautology: (∀x)(∀y)(T(x) ^ T(y) ➡ T(x ^ y))

B. Some propositions are tautologies: (∃x) T(x)

C. The negation of a contradiction is a tautology: (∀x)(C(x) ➡ T(~x))

D. The disjunction of two contingencies can be a tautology: (∃x)(∃y)(C(x) ^ C(y) ➡ T(x ∨ y))

These expressions elucidate fundamental principles governing the logical structure and interplay of propositions, enriching our understanding of logical reasoning and inference.

Answer:

64

Step-by-step explanation:

18/72 = 16/x

16 x 72= 1152

1152/18= 64

The ratio of stems to center pieces is 2/8 so it cchecks out.

Answer:

64

Step-by-step explanation:

creating a chart would be useful when doing this type of problem

Answer:

THE ANSWER ISSS B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bowling ball and the tennis ball are spherical in shape.

The formula for determining the volume of a sphere is expressed as

Volume = 4/3 × πr³

Where

r represents the radius of the sphere.

π is a constant whose value is 3.14

Considering the bowling ball,

Diameter = 22 cm

Radius = diameter/2 = 22/2 = 11 cm

Volume = 4/3 × 3.14 × 11³ = 5572.5cm³

Considering the Tennis ball,

Diameter = 7 cm

Radius = diameter/2 = 7/2 = 3.5 cm

Volume = 4/3 × 3.14 × 3.5³ = 179.5 cm³

the approximate difference in volume between bowling ball and tennis ball is

5572.5 - 179.5 = 5393 cm³

Answer:

6) x = 17 ft

7) 42 in

Step-by-step explanation:

6) length of the tangents are equal.

2x - 7 = 27

2x = 34

x = 17

7) if you draw a line from T passing through the centre of the circle, it will divide the triangle into two congruent triangles

Perimeter = 2(5+7+9) = 42 in

Answer:

cluster sampling

Step-by-step explanation:

In cluster sampling, the population is divided into groups or clusters (in this case, students divided in the 20 classes), the researcher then randomly selects a subset of clusters and samples the individuals within those clusters. In this example, since students from 5 out of 20 classes are sampled, the sampling process can be characterized as cluster sampling.

Option D: [tex](1,2)[/tex] is the midpoint of the line segment.

Explanation:

The endpoints of the line segment is [tex](-2,-2)[/tex] and [tex](4,6)[/tex]

We need to determine the midpoint of the line segment.

The midpoint of the line segment can be determined using the formula,

[tex]\text { midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

Substituting the coordinates [tex](-2,-2)[/tex] and [tex](4,6)[/tex] in the formula, we have,

[tex]\text { midpoint }=\left(\frac{-2+4}{2}, \frac{-2+6}{2}\right)[/tex]

Adding the numerator, we have,

[tex]\text { midpoint }=\left(\frac{2}{2}, \frac{4}{2}\right)[/tex]

Dividing, we have,

[tex]\text { midpoint }=\left(1, 2)[/tex]

Thus, the midpoint of the line segment is [tex](1,2)[/tex]

Hence, Option D is the correct answer.

Answer:

Step-by-step explanation:

We can use the identity:

[tex]sin^{2}A + cos^{2}A= 1[/tex]

[tex]sinA = \frac{21}{29}[/tex]

Solving we get,

cosA = 20/29

Answer:

C. 20/29

e2020

Answer:

The value of interest charged after 4 years = $ 960

Step-by-step explanation:

Principal amount P = $ 8000

Rate of interest R = 3 %

Time = 4 year

Simple interest = [tex]\frac{P R T}{100}[/tex]

⇒ S.I. = 8000 × 4 × [tex]\frac{3}{100}[/tex]

⇒ S.I. = $ 960

This is the value of interest  after 4 years.

Answer:

The random variable X follows a Binomial distribution.

[tex]E(X)=X\\SD(X)=\sqrt{\frac{X(300-X)}{300}}[/tex]

Step-by-step explanation:

The random variable X defined as the number of children who have been diagnosed with ASD.

The random sample of children selected is of size n = 300.

The probability of children diagnosed with ASD is, [tex]P(X)=p=\frac{X}{300}[/tex].

A children diagnosed with ASD is independent of all the others.

The random variable X follows a Binomial distribution.

[tex]X\sim Bin(n=300, p=\frac{X}{300})[/tex]

The expected value of X is:

[tex]E(X)=np=300\times \frac{X}{300}=X[/tex]

The standard deviation of X is:

[tex]SD(X)=\sqrt{np(1-p)}=\sqrt{300\times \frac{X}{300}[1-\frac{X}{300}]}=\sqrt{\frac{X(300-X)}{300}}[/tex]

Number of kids is 5 and number of adults is 3.

Step-by-step explanation:

       Cost of tickets for kids = 3(8-x) = 24 - 3x

       Total cost = 33 = 6x + 24 - 3x = 3x + 24

⇒ 3x = 9

∴ x = 3

⇒ 8 - x = 8 - 3 = 5

∴ Number of kids is 5 and number of adults is 3.

Final answer:

To solve this problem, you can use a system of equations. The group consists of 3 adults and 5 kids.

Explanation:

To solve this problem, we can use a system of equations. Let's represent the number of adults as 'A' and the number of kids as 'K'. We know that there are 8 people in total, so we have the equation A + K = 8. We also know that the cost of tickets for adults is $6 and for kids is $3, and they paid a total of $33. This gives us the equation 6A + 3K = 33.

We can solve this system of equations by substitution or elimination. For simplicity, let's use substitution. From the first equation, we can rewrite K as K = 8 - A. Substituting this into the second equation, we get 6A + 3(8 - A) = 33.

Simplifying the equation, we get 6A + 24 - 3A = 33. Combining like terms, we have 3A + 24 = 33. Subtracting 24 from both sides, we get 3A = 9. Dividing both sides by 3, we find A = 3.

Now that we know there are 3 adults, we can plug this into the first equation to find K. A + K = 8, so 3 + K = 8. Subtracting 3 from both sides, we get K = 5. Therefore, there are 3 adults and 5 kids in the group.

Step-by-step explanation:

If the given baseball field is in the rectangle shape.

Then area of the field is :   Side x Side

Let us assume the side of the field  = k feet

So, the area of the filed      = k   x    k

⇒ 90 =  k²

⇒ k = 9.486 feet

If the baseball field is in rectangle shape. then the area of the field is

⇒ Area = Length x Breadth

 ⇒ 90 = L x B

So the blabbering above me is completely wrong and makes no sense whatsoever.

___________________________________________________________

Your answer would be 8100 square feet. your welcome.

___________________________________________________________

                                                some cute copy and paste  ☏ ♡ ☆⋆◦★◦⋆°*•°

. * . . ° . ● ° .

¸ . ★ ° :. . • ° . * :. ☆

° :. ° .☆ . ● .° °★

★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *

¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆

☆ °☆ . * ● ¸ . ★¸ .

. * . . ° . ● ° .

° :. ° . ☆ . . • . ● .° °★ Not sure how to copy and paste? Just right click your mouse and choose copy in options, to release repeat the process and just paste it. No mouse? Select the text with your computer pad and use ctrl c to release, ctrl v. On mobile? Press on your screen and select the text, use the option copy and paste wherever you would like!

Answer:

Option 4

Step-by-step explanation:

B = D = 75

A = C = 180 - 75 = 105

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Given that Angle B is 75°, the other angles are 105° (Angle A), 75° (Angle D), and 105° (Angle C).

The parking space is in the shape of a parallelogram. The properties of a parallelogram tell us that opposite angles are equal, and consecutive angles are supplementary (add up to 180 degrees). Given that the measure of Angle B is 75°, the angle opposite to it (Angle D) will also be 75° as they are opposite angles. This leaves us with Angles A and C. Since angles A and B are consecutive, Angle A is 180° - 75° = 105°. Similarly, since angles C and D are consecutive, Angle C is also 180° - 75° = 105°. Thus, the measures of the four angles in the parallelogram are 75°, 105°, 75°, and 105° respectively.

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

y = - 2x + 3

Comparing with the slope intercept form, slope = - 2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (4, - 3) is 1/2

To determine the y intercept, we would substitute m = 1/2, x = 4 and y = -3 into y = mx + c. It becomes

- 3 = 1/2 × 4 + c

- 3 = 2 + c

c = - 3 - 2

c = - 5

The equation becomes

y = x/2 - 5

Multiplying through by 2, it becomes

2y = x - 5

x - 2y - 5 = 0

Therefore

A = 1

B = - 2

C = - 5

Answer:

[tex]p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}[/tex], for [tex]r_{1} = 0[/tex]

Step-by-step explanation:

The general form of quintic-order polynomial is:

[tex]p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f[/tex]

According to the statement of the problem, the polynomial has the following roots:

[tex]p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)[/tex]

Then, some algebraic handling is done to expand the polynomial:

[tex]p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)[/tex]

[tex]p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x[/tex]

If [tex]r_{1} = 0[/tex], then:

[tex]p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}[/tex]

The polynomial P(x) given has a degree of 5, leading coefficient of 1, roots at 3, 0 (both with multiplicity 2), and -1 (with multiplicity 1). It can be written as P(x) = (x - 3)^2 * x^2 * (x + 1), according to the Fundamental Theorem of Algebra.

A polynomial P(x) of degree 5 with a leading coefficient of 1 and roots at x = 3, x = 0 with multiplicity 2, and x = -1 with multiplicity 1 can be expressed as:

P ( x ) = (x - 3)^2 * x^2 * (x + 1)

This polynomial function is derived based on the fundamental theorem of algebra that states each polynomial equation of degree 'n' has 'n' roots or zeros, considering multiplicity. Here, the factors (x-3)^2, x^2 and (x+1) correspond to the roots 3, 0 and -1 with their respective multiplicities. Multiplicity refers to the number of times a number occurs as a root in the polynomial function.

https://brainly.com/question/30474881

#SPJ3

Answer:C) Children cannot use counters for the initial amount.

Step-by-step explanation:Problem solving allows students to use mathematical concepts, skills and the relationships among them to solve problem situations with different levels of difficulties. Problem solving framework allows students to solve mathematical situations by assisting them to handle or approach problem solving systemically.

There are basically four structures they are

(1) Join

(2) Separate

(3) Part-Part-Whole

(4) Compare.

JOIN AND SEPARATE STRUCTURES INCLUDE ACTIONS THAT INCREASE OR DECREASE A QUANTITY.

The part-part whole does not involve an action but it has a relationship between a particular whole and its two separate parts.

The compare structure also does not involve an action,but it compares two unconnected and distinct sets.

Answer:

1728 cubic inches

Step-by-step explanation:

Given that the formula

[tex]V=s^3[/tex],

where s represents the length of an edge that can be used to find the value of a cud.

Given that a cud has edge as 12 inches

Using the above formula we can find volume by substituting for s.

Here we substitute s =12 inches so that we get volume in cubic inches

Volume of the cud = [tex]12^3\\=12*12*12\\\\=1728[/tex]

1728 cubic inches

Answer:

the answer is Athens-Buford-Cu-Dacul-Athens

Step-by-step explanation:

just took the quiz

Answer:

Way 3 and 4

Step-by-step explanation:

The Algorithm of Brute Force

Let A is Athens,  

Let B is Buford,  

Let C is Cuming,

Let D is Dacula  

Use the "Brute Force" Algorithm to find the cheapest route to visit each city and return home again to Athens, we can see that there are 6 ways to visit each city and return home again to Athens.

Way 1: A→C→D→B→A = 50 + 30 + 70 + 70 = $220

Way 2: A→D→B→C→A = 60 + 70 + 25 + 50 = $205

Way 3: A→D→C→B→A = 60 + 30 + 25 + 70 = $185

Way 4: A→B→C→D→A = 70 + 25 + 30 + 60 = $185

Way 5: A→B→D→C→A = 70 + 70 + 30 + 50 = $220

Way 6: A→C→B→D→A = 50 + 25 + 70 + 60 = $205

Way 3 and 4 are the cheapest so we choose them.

Answer:

Well, the first $100 gets charged $1.50 

The next 146.07 gets charged 1% so that is 1.46 

1.50 + 1.46 = 2.96 

2.3 89.70 - 20 + 32.11 = 101.81. 1.23 percent of that is 1.25

The answer would be the third choice.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Read more on Brainly.com - https://brainly.com/question/2364291#readmore

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

The problem statement tells you each observed count is 3 times the last one.

__

Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...

  y = (initial value)×(growth factor)^x

  y = 50·3^x

The question asks about a mold growth experiment which demonstrates exponential growth, where the number of mold cells triples with each measurement. Starting with 50 cells, the cell count increases to 150, 450, and so on.

The situation described in your question is an example of exponential growth, a mathematical concept often used in biology to describe how populations like your mold cells multiply over time, trebling with each measurement. Considering your initial mold count was 50, each subsequent measurement or observation will be 3 times the previous count:

And so on. The pattern continues, with each period's mold cell count being three times that of the previous period.

https://brainly.com/question/12490064

#SPJ11

The calculation shows that 102 adults watched both programs, 416 adults watched at least one program, 314 adults watched the Big Game, and 212 adults watched the Big Game but not the New Movie.

The subject of this question is Mathematics, specifically set theory, and it is geared towards High School grade level.

Let's break this down step by step:

To find the number of adults who watched both programs, we subtract the number who watched the New Movie but not the Big Game from the total number who watch the New Movie:

285 (watched New Movie) - 183 (watched the New Movie but not the Big Game) = 102 adults watched both programs (a)

To find the number of adults who watched at least one program, we subtract the number who watched neither from the total number of adults:

644 (total number of adults) - 228 (watched neither) = 416 adults watched at least one program (b)

To find the number of adults who watched the Big Game, we add the number who watched both to those who watched only the Big Game. The later is calculated by subtracting those who watched both and those who watched neither from the total number of adults:

644 (total number of adults) - 102 (watched both) - 228 (watched neither) = 314 watched the Big Game (c)

And finally, to calculate the number of adults who watched the Big Game but not the New Movie, we subtract the ones who watched both from total Big Game watchers:

314 (watched Big Game) - 102 (watched both) = 212 watched the Big Game but not the New Movie (d)

https://brainly.com/question/35494444

#SPJ3

Answer:

7.54 sq. inches

Step-by-step explanation:

The cake with the cut portion has been shown in the figure below.

For calculating the area of cut part we first need to calculate the area of whole cake.

Diameter of the cake is given in the question as 12 inches.

So the area of the cake = [tex]\pi \frac{Diameter^2}{4}[/tex] = [tex]3.14 \times \frac{12\times12}{4} = 113.04[/tex] [tex]inches^2[/tex]

Since when the central angle is 360°, the area is 113.04 square inches

So when the central angle is 24°, the area of the section will be

[tex]\frac{113.04\times 24}{360} =7.54[/tex]

Thus area of the slice cut by Nestor is 7.54 sq. inches.

Fraction = [tex]\frac{7.54}{113.04} = 0.07[/tex]

Answer:

5 cents.

Step-by-step explanation:

We have been George has $2.00 to spend at a store. He buys 3 cans of soda. Each can of soda costs 65 cents.

First of all George should calculate the total cost of 3 cans of soda by multiplying 3 by $0.65.

[tex]\text{Cost of 3 cans of soda}=\$0.65\times 3[/tex]

[tex]\text{Cost of 3 cans of soda}=\$1.95[/tex]

Now, George should subtract $1.95 from $2.00 to find the amount of change as:

[tex]\text{Amount of change that George will receive}=\$2.00-\$1.95[/tex]

[tex]\text{Amount of change that George will receive}=\$0.05[/tex]

Therefore, George will receive 5 cents in change.

Answer:

0.05 cents

Step-by-step explanation:

Given that George has $2.00 to spend at a store. He buys 3 cans of soda. Each can of soda costs 65 cents.

George has to use both multiplication and subtraction to find out the change

Spending at a store ...  2.00$

Cost of each can ... 0.65$

cost of 3 cans      ...  3*0.65 = 1.95$

Change he receives   ... 2-1.95 =0.05 cents

Answer:

the volume of the box increases 48 times compared to the 1st one.

Step-by-step explanation:

Volume of the box (1) = LWH

=> The new volume of the box = 4L * 4W * 3H = 48LWH  

So the volume of the box increases 48 times compared to the 1st one.