Pre-Algebra : Volume

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #13 : Volume Of A Rectangular Solid

A matchbox has a length of 10 inches, width of 2 inches and height of 1 inch. What is the volume of the matchbox?

 

Possible Answers:

Correct answer:

Explanation:

To find the volume of a rectangular solid you must multiply the length, width, and height together.

Volume is in units cubed.

Example Question #12 : Volume Of A Rectangular Solid

Alfred has a fish tank that looks like this:

Rectangle volumn

Alfred needs to fill the tank with water. To do that, he needs to know the volume of the tank. Find the volume of the tank if the height is 12 inches, the length is three times the height, and the width is the same as the height.

Possible Answers:

Correct answer:

Explanation:

The fish tankbis considered a rectangular prism. The formula to find the volume of a rectangular prism is

where l is the length, w is the width, and h is the height. We know the height is 12 inches. The length is three times the height, so the length is 36 inches. The width is the same as the height, sonthe width is 12 inches. Now, we can substitute. We get

Therefore, the volume of the fish tank is .

Example Question #14 : Volume Of A Rectangular Solid

Find the volume of a rectangular box with the following dimensions:

Length: 4 feet. Width: 12 feet. Height: 3 feet.

Possible Answers:

Correct answer:

Explanation:

Find the volume of a rectangular box with the following dimensions:

Length: 4 feet. Width: 12 feet. Height: 3 feet.

To find volume of a rectangular box, we just need to use the following:

So our answer is:

Example Question #15 : Volume Of A Rectangular Solid

An aquarium is shaped like a perfect cube; the perimeter of each glass face is  meters. If it is filled to the recommended  capacity, then, to the nearest hundred cubic liters, how much water will it contain? 

Possible Answers:

Insufficient information is given to answer the question.

Note:


Correct answer:

Explanation:

A perfect cube has square faces; if a face has perimeter  meters, then each side of each face measures one fourth of this, or  meters. The volume of the tank is the cube of this, or

 cubic meters.

Its capacity in liters is  liters.

 of this is 

 liters. 

This rounds to liters, the correct response.

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