The measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200 cm by 300 cm. If each of the three measurements has an error of at most 1 cm, which of the following is closest to the maximum possible difference, in cubic cm, between the actual capacity of the box and the capacity computed using these measurements?A. 100,000.B. 120,000.C. 160,000.D. 200,000.E. 320,000.

Answers

Answer 1

Answer:

C. 160,000

Step-by-step explanation:

Given that the measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200 cm by 300 cm.

Also given that each of the three measurements has an error of at most 1 cm

COnsider the worst case where each dimension is increased by 1 cm

Then we measure the dimensions as 201 , 201 and 301

So volume would be measured as

[tex]201*201*301\\= 12160701[/tex] cubic cm

Actual volume of the box = [tex]200*200*300\\=12000000[/tex] cubic cm

Difference maximum possible = 160701 cubic cm

Out of the five options given option C is nearest to this value

So answer is

C. 160,000


Related Questions

________________shapes are radical alterations of visible reality simplifications, exaggerations, or transmutation that sometimes bear little resemblance to the original entities from which they were derived.1. geomatric2. organic3. contour4. abstract5. amorphous

Answers

Answer:4. Abstract.

Step-by-step explanation: Abstraction is a term used to describe a departure from reality in the expressions of image in art.

This kind of departure from accurate and actual representation can be slight,can be partial, or complete or total.

Abstract shapes are shapes used in depicting the virtual images of certain objects or people,it usually does not actually display reality or, it only shows the radical altering of the visual realities of different things.

Using the formula A=P(1+r)^t calculate the value of an initial investment of $4,500 after 10 years at 4% interest.









Answers

The solution is [tex]\$ 6661[/tex]

Explanation:

The initial investment is $4500

The time taken is 10 years.

The rate of interest is 4%

We shall determine the value of A using the formula [tex]A=P(1+r)^t[/tex]

where P is the initial investment,

r is the rate of interest and

t is time

Let us substitute the values [tex]P=4500[/tex] , [tex]t=10[/tex] and [tex]r=4 \%[/tex] in the formula [tex]A=P(1+r)^t[/tex]

Thus, we have,

[tex]A=4500(1+0.04)^{10}[/tex]

Adding the values within the bracket, we have,

[tex]A=4500(1.04)^{10}[/tex]

Simplifying, we get,

[tex]A=4500(1.4802)[/tex]

Multiplying, we have,

[tex]A=6661[/tex]

Thus, the value is $6661

Why does math get so hard that you have an answer but you forget what your answer was because it was so so so so so so so so so so so so so so hard.Why is it hard?

Answers

Bc u dont write ur work down. If u actually take the steps to do the question it wont be that bad

Answer:

because if u write down the steps that u took to get the answer it wont be sosososososososo hard

Step-by-step explanation:

Other Questions
The temperature at which the motion of particles theoretically ceases is Othello likes going to the casino and playing the slot machine. He realizes that he will not win very often and that he never knows how many times he has to put money in and pull the level before he will win. Othello is being reinforced on a __________ schedule of reinforcement. A group of middle school boys have a mean height of 167 cm and a range of 164 cm to 169 cm. A group of high school boys have a mean height of 180 cm and a range of 175 cm to 183 cm. Which statement BEST compares the two groups of boys? The VP of Manufacturing at Roshanak Incorporated wants to buy a new die cast machine for production. The die cast machine is expected to cost around $1,000,000. Which document will most likely be used to solicit bids from suppliers the Atlantic slave trade What was the reaction when the cell theory was first introduced. What is the main difference between a standard deduction and an itemized deduction? The perceThe percentage change in the price level from one time period to the next, whether the price level is measured in terms of money or as a price index, will be the _____________.ntage change in the price level from one time period to the next, whether the price level is measured in terms of money or as a price index, will be the _____________.inflation rateprice index rateconsumer price indexproducer price Index Urinary tract infections are commonly caused by Staphylococcus saprophyticus and Escherichia coli, less commonly caused by Proteus mirabilis. You have a mixed culture of these pathogens, which you inoculate onto both MacConkey agar and nutrient agar, and then you incubate the plates at optimal growth conditions. On the MacConkey agar, E. coli appears pink, P. mirabilis appears colorless, and S. saprophyticus does not grow. All three microorganisms appear cream on the nutrient agar plate. What is the best explanation for this data?A. MacConkey agar is a selective medium whereas nutrient agar is a differential medium.B. MacConkey is both a differential and a selective medium.C. Nutrient agar is both a selective and differential medium.D. MacConkey agar is a differential medium, whereas nutrient agar is a selective medium. In the following sentence, which possessive pronoun is being used as an adjective?Did you see their new car in the parking lot? A Tall Tale 1Katie stormed through the front door after school, her face burning hot with tears. Her grandmother was at the kitchen table, working on a crossword puzzle. She looked up in surprise.2Why, Katie! What's wrong, sweetheart? Katie's grandmother asked. She sat Katie down at the table and gave her a cool towel to wipe her face. She waited for Katie to take a few deep, shuddering breaths.3The kids at school, Katie finally said, her voice quavering. They make fun of me all the time, Grandma, just because I'm so tall! They call me... They call me, Katie stammered, trying to fight back the tears. I wore an orange shirt today and they called me the Jolly Orange Giant! Katie burst into tears. Her grandmother kept back a little smile and gave her granddaughter a hug.4Did you know that when your mom was a kid, the other kids made fun of her for being tall, too? she asked. Katie shook her head. Do you know who else they made fun of? Katie shook her head again. Me! Katie looked up in surprise. Grandma nodded at her.5All the women in our family are very tall, Katie's grandmother explained. It's a gift! I know it's no fun to be so tall right now, but it'll get better, sweetie. Besides, she gave Katie a loving pinch and a wink, not every little girl gets to have the star of the Women's National Basketball Association as her mother!"A Tall Tale".Read the passage.What is the story mostly about?AKatie meets her grandfather and is surprised that he is very short.BKids at school call Katie the Jolly Orange Giant.CKatie's grandmother cheers her up after Katie is teased at school.DKatie's grandmother likes crossword puzzles.please help meh ;-; im so so lonely ;-; A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 89 MPa (81.00 ksi). If the plate is exposed to a tensile stress of 336 MPa (48730 psi) during use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 0.92 for Y. A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle how would you define assumptions and perspective? Antibodies are ____. Read these lines from Stanza 2 of the poem.The stout mate thought of home; a sprayOf salt wave washed his swarthy cheek.How does the poet's use of the word swarthy affect the poem?It emphasizes that the mate's face is dark and weathered from the sun and sea.It suggests that the mate's cheeks are puffy and wet from the sea spray.It emphasizes that the mate is homesick and the sea spray hides his tears.It suggests that the mate has been a seaman a long time and his skin is aged. The fact that elaborative rehearsal is a more effective means of transferring information from short-term memory to long-term memory is consistent with the ____ model of memory. On January 1, 2014, Doone Corporation acquired 60 percent of the outstanding voting stock of Rockne Company for $312,000 consideration. At the acquisition date, the fair value of the 40 percent noncontrolling interest was $208,000 and Rocknes assets and liabilities had a collective net fair value of $520,000. Doone uses the equity method in its internal records to account for its investment in Rockne. Rockne reports net income of $150,000 in 2015. Since being acquired, Rockne has regularly supplied inventory to Doone at 25 percent more than cost. Sales to Doone amounted to $210,000 in 2014 and $310,000 in 2015. Approximately 35 percent of the inventory purchased during any one year is not used until the following year. a. What is the noncontrolling interests share of Rocknes 2015 income? b. Prepare Doones 2015 consolidation entries required by the intra-entity inventory transfers. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) A purchaser paid $1,539.13 for a computer system that originally cost $1,215.91. If the markup was 21% of the $1,539.13 selling price, then what is the percent markup based on cost? Why did the revolutionary war start Steam Workshop Downloader