Pre-Algebra : Volume

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #101 : Geometry

What is the volume of a cube with a side length equal to  inches?

Possible Answers:

Correct answer:

Explanation:

The volume of a a cube (or rectangular prism) can be solved using the following equation:

Example Question #2 : Volume Of A Rectangular Solid

The volume of a cube is . What is the length of an edge of the cube?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of an edge of the cube. The volume of a cube can be determined by the equation:

Example Question #5 : Volume Of A Rectangular Solid

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume of a given prism , where  is the base area and  is the height. For a rectangular prism, the base area , or length times width. Therefore:

Substituting in our known values:

Example Question #61 : Volume

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume  of a rectangular prism is the product of its base area  and its height . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

Example Question #2 : Volume Of A Rectangular Solid

A given rectangular prism has a length of , a width of , and a height of , what is its volume?

Possible Answers:

Correct answer:

Explanation:

The volume  of a rectangular prism is the product of its base area  and its height . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

Example Question #1 : Volume Of A Rectangular Solid

The length, width, and height of box is  respectively.  What is the volume of the rectangular box?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of a rectangular solid.

Substitute the dimensions.

Example Question #251 : Geometry

Find the volume of a rectangular solid if the base area is  and the height is .

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of the rectangular solid.

The area of the base is length times width, and is already given.  Multiply the area of the base with the height to obtain the volume.

Example Question #11 : Volume Of A Rectangular Solid

Find the volume of a rectangular box if the length, width, and height are  respectively.

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of a rectangular prism.

Substitute the dimensions.

Example Question #12 : Volume Of A Rectangular Solid

Find the volume of the rectangular solid if the base has an area of  and the height is .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a rectangular solid.

The base area is:

Substitute the area and the height.

Example Question #12 : Volume Of A Rectangular Solid

Find the volume of a rectangular solid with a length of 4, a width of 1, and a height of 10.

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of the rectangular solid.

Substitute the known dimensions.

Multiply the numbers.

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