tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 524 cubic unit and the base area is 15 square unit, what is the height of the chest?

Answers

Answer 1

The height of the rectangular prism chest is approximately 34.93 units, calculated using the volume and base area formulas for rectangular prisms.

To find the height of the rectangular prism chest, we can use the formula for the volume of a rectangular prism, which is given by the product of its length, width, and height. Let's denote the height of the chest as h the length as l , and the width as w.

Given that the volume of the chest is 524 cubic units and the base area (length times width) is 15 square units, we have two equations:

1. [tex]$ l \times w $ (base area) $ = 15 $[/tex] square units,

2. [tex]$ l \times w \times h $ (volume) \( = 524[/tex]) cubic units.

From the first equation, we can solve for one variable in terms of the other. Let's solve for l in terms of w :

[tex]\[ l = \frac{15}{w} \][/tex]

Now substitute this expression for l into the second equation:

[tex]\[ \frac{15}{w} \times w \times h = 524 \][/tex]

Simplify:

15h = 524

Solve for h:

[tex]\[ h = \frac{524}{15} \][/tex]

h ≈ 34.93

So, the height of the chest is approximately 34.93 units.

Related Questions

How many sixteenths are in 15/16 ?

Answers

15, because you can phrase it as "fifteen sixteenths"

Is it possible for a number to be a rational number that is not an integer but is a whole number

Answers

No because any number that is a whole number is a rational number, Integer, and a whole number. A whole number can not be a whole number without being an Integer and a Rational number

Jake needs 9 pieces of rope that are each the same length. He cuts the pieces from a rope that is 8 yards long and uses up the whole piece of rope. How long is each piece of rope?

Answers

9 pieces of rope form an 8 yard long rope

Divide.

8/9 yards of rope.

8/9 is approximately 0.89.

So 8/9 yards of rope or 0.89 yards of rope.

Graph the function represented in the table on the coordinate plane.

Answers

you go out with x and up with y. so if your number is (6,7) or x6 and y 7 you go right 6 then up 7

Jabir buys 2.74 pounds of dried pinto beans and 4.05 pounds of dried lima beans. What is the difference between the weights of the beans that Jabir buys?

Answers

The answer is 1.31 because 4.05 - 2.74 = 1.31

Convert 12.6 pounds into ounces

Answers

1 pound = 16 oz. 16 x 12.6 = 201.6. So 12.6 pounds equals 201.6 ounces.

I hope this helps! ^_^

201.6 ounces I hope this helps you

The school cafeteria has an order for 238 hot lunches. What is 238 to the nearest ten?

Answers

The answer would be 240 hope I helped

240
( 8 is the nearest ten and it 5 and above so the number increases)

The United States uses 24℅ of the world's supply energy What fraction of the world's energy is this ?

Answers

So, the US uses 24% of 100% of the world's energy. As a fraction this is = 7/25

The United States uses 24% of the world's energy supply, and this percentage as a fraction is 24/100, which simplifies to 6/25.

The United States uses 24% of the world's energy supply. To convert this percentage to a fraction, we take the percentage and write it over 100. So 24% becomes 24/100. This fraction can then be reduced to its simplest form by dividing both the numerator and the denominator by their greatest common divisor, which is 4 in this case. Therefore, 24/100 simplifies to 6/25.

To reiterate, the fraction that represents the U.S. consumption of the world's energy supply is 6/25.

a=625(1+0.051)(1)(4)

Answers

.If you want to find out the value of "a" then ⬇

a➡ 2627.5 ; which is also called "2627.500

what is 41 percent
of 25

Answers

25*(41/100) = 10.25 is the answer

The answer is 10.25, because 41% is almost half, and half of 25 is 12.5. 10.25 is a bit less than 12.5, so the answer is 10.25.

Round each number to the nearest 10 212+87 then add

Answers

~212 rounded to the nearest 10 would be 210.

~87 rounded to the nearest 10 would be 90.

210 + 90 = 300

Your answer would be 300.
_____________________________________________________________

Hope this helps!!!! :D

300 is your nearest hundred

Please help me!

4. Stephen wrote the problem 46.8 divided by 0.5. What is the correct quotient?

Answers

Final answer:

To find the quotient of 46.8 divided by 0.5, we use long division. The correct quotient is 136.

Explanation:

To solve the division problem 46.8 divided by 0.5, we can use long division. Here are the steps:

Divide 46.8 by 0.5 to get the quotient. Since 0.5 is smaller than 46.8, we start dividing.We divide 4 by 0.5 to get 8. Since 8 is smaller than 46, we bring down the next digit, which is 6.We divide 46 by 0.5 to get 92. Since 92 is smaller than 68, we bring down the next digit, which is 8.We divide 68 by 0.5 to get 136.

The correct quotient is 136.

Final answer:

The correct quotient when dividing 46.8 by 0.5 is 93.6, since dividing by 0.5 is equivalent to multiplying by the reciprocal, which is 2.

Explanation:

The student's question is about finding the result of the division 46.8 divided by 0.5. To find the correct quotient, follow these steps:

Understand that dividing by 0.5 is the same as multiplying by 2 because 0.5 is equivalent to 1/2, and the reciprocal of 1/2 is 2.Multiply 46.8 by 2 to find the quotient.The result is 93.6.

Therefore, the correct quotient when 46.8 is divided by 0.5 is 93.6. Recognizing the reciprocal relationship, dividing by 0.5 is equivalent to multiplying by 2. By implementing this understanding and multiplying 46.8 by 2, the correct quotient is determined to be 93.6. This approach clarifies the process involved in dividing by fractions and offers a clear solution to the student's question.

m is at least 25 m_____25 options >

Answers

m > 25
_

Make sure u put the line underneath > because m could equal 25

List the first 5 multiples of 7

Answers

7, 14, 21, 28, and 35

7,14 ,21,28,35 are the first five multiples of seven

How do you convert 2/5 into a decimal?

Answers

2/5 convert into a decimal divide 5 by 100 or 10 and then you would get 20 or 2 and there are 2/5 so that would be 0.4 or 0.40
Answer 0.4

Multiply both numbers by 2.

4/10 = 0.4

is 2(9z + 9w) + 12w equivalent to 18w + 30z

Answers

No
2(9z + 9w) + 12w
= 18z + 18w + 12w
=18z + 30w
not equal 18w + 30z

Do number 4 and get 79 points

Answers

Using the given fractions,2/3÷1/8
Applying the fractions formula for division,=2/3×8/1
Simplifying 16/3,
the answer is=5 1/3
So 6 is correct

draw a quick picture to show 2.63

Answers

Draw 2 big 100 tile things. 6 10-tiled sticks. 3 one-tiled units

Kayla packs 4 boxes that weigh 1/6 pound altogether. What does each box weigh

Answers

4 boxes = 1/6 of a pound
If each box weighs the same then you should divide 1/6 of a pound by four. That should give you the weight of each box.

Step One:
1/6÷4= ?

Step Two:
Change the four to a fraction

1/6÷4/1= ?

Step 3:
Use the Keep/Flip/Change rule to rewrite the problem to an easier one.
1/6(Keep)÷4/1= ?
1/6÷1/4(Flip)= ?
1/6×(Change)1/4= ?

Now you have this equation:
1 1
-- × -- = ?
6 4

Step 4:
Multiply across.

1 1 1
--- × --- = ---
6 4 24

Step 5:
Write it out.
Now you have your answer and should write it in C.S.R.Q. format. (Complete Sentence that Restates the Question)

Each box Kayla packed weighs 1/24 of a pound.

The easiest way for me to solve this would be to simply multiply 1/6 by 4 and I got 4/24

If you measure the amount of water you drink in a day,would cups or pints give you a more precise measurement?Explain

Answers

cups because you probably drink about a cup or more when you get water

what is 8283 divided by 19

Answers

435.94768 should be the answer

435.94768 when i used the calculator

The total money y Aaron earned mowing x lawns is showns by the equation y= 15x+25. What does the slope represent?

Answers

It's the amount of money that he earns for every lawn.

15x is the slope
x represents how many lawns he mowed

So the equation y = 15x + 25 represents how much money (y) Aaron will make for mowing 15 lawns

So the slope represents the number of lawns mowed

Which values of k are solutions to the inequality? k>12 Select each correct answer.
A. k = 11.9
B. k = 12.1
C. k = 13.0
D. k = 19.9
E. k = 10.2

Answers

k > 12

A. k = 11.9 → 11.9 > 12 FALSE

B. k = 12.1 → 12.1 > 12 TRUE

C. k = 13.0 → 13.0 > 12 TRUE

D. k = 19.9 → 19.9 > 12 TRUE

E. k = 10.2 → 10.2 > 12 FALSE

Answer:

Option B , C and D are correct.

The values of k are 12.1 , 13.0 and 19.9

Step-by-step explanation:

Given the inequality: [tex]k > 12[/tex].

The boundary point is not included when the inequality is less than '<' or greater than '>', and is represented by an open circle on the boundary point.

Also, the arrow goes to the right when the inequality symbol is greater than (>) or greater than equal [tex]\geq[/tex].

since, the inequality [tex]k > 12[/tex] as shown in figure below;

The solution of k which satisfy k > 12 are;

12.1 , 13.0 and 19.9 .

To decorate her bedroom, Jocelinde spent $47.91 on new bedding, $23.96 on paint, and $35.09 on accessories. About how much did she spend to decorate her bedroom? A.$90 B. $110 C.$130 D.$150

Answers

47.91+23.96+35.09=106.96 $
aprox 110$

after adding them all together it was $106 and some change
When you round that up the answer would be $110

What is 1,000,000 times 1/3

Answers

333333.333333333333333333
:) lol

For fraction → [tex] \frac{1,000,000}{3} [/tex]

For the decimal → 333333.333333

25/100 in simplest form

Answers

If we divide both the numerator and the denominator by 25, we would get 1/4 which would be the simplest form

The answer to this is simply 1/4.

If a sprinkler waters 1/15 of a lawn in 1/5 of an hour, how much time will it take to water the entire lawn?

Answers

For 1/15 of lawn it takes = 1/5
So, for lawn it will take = 1/5 * 15 = 3

So, your final answer is 3 hours

Hope this helps!

if 1/15 of a lawn is sprinkled

in 1/5 of an hour

you must multiply both to get a resalt of 3

what is 3 and 1/5 x 9/10 as a mixed number?

Answers

this answer should equal to be as a mixed number is 2 22/25

I believe the answer is 2 and 22/25

What is 8 divided by 2,448 SHOW steps too

Answers

0.032679738562092 divide 8 by 2448

8 goes into 24 3 times
Bring down your 4
8 goes into 4 0 times
Bring down your 8 along side 4
8 goes into 48 6 times

Your answer would be 306

The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes for producing fruit cans and y = number of minutes for producing vegetable cans. What is the meaning of the y-intercept?

Answers

xint is where the line crosses the x axis or where y=0

that means when you spen 0 minutes producing vegetable cans
that is when you spend all your time making fruit cans

Answer:

Sample Answer: The y-intercept, at the point (0, 6), indicates the choice to produce vegetables for 6 minutes. In 6 minutes, producing 64 cans of vegetables each minute, all 384 cans for the order will be completed. The 0 for the x-value represents that no time is spent producing cans of fruit.

Step-by-step explanation:

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