Common Core: 7th Grade Math : Finding Volume of a Cube

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #1 : Finding Volume Of A Cube

If a cube is inches tall, what is its volume?

Possible Answers:

Not enough information provided.

Correct answer:

Explanation:

To find the volume of a cube, we multiply length by width by height, which can be represented with the forumla .  Since a cube has equal sides, we can use for all three values.

Example Question #61 : Volume

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 #1 : How To Find The Volume Of A Cube

Give the volume of a cube with surface area 150 square inches.

Possible Answers:

Correct answer:

Explanation:

Let  be the length of one edge of the cube. Since its surface area is 150 square inches, one face has one-sixth of this area, or  square inches. Therefore, , and .

The volume is the cube of this, or  cubic inches.

Example Question #4 : Finding Volume Of A Cube

Give the volume of a cube with surface area 240 square inches.

Possible Answers:

Correct answer:

Explanation:

Let  be the length of one edge of the cube. Since its surface area is 240 square inches, one face has one-sixth of this area, or  square inches. Therefore, , and .

The volume is the cube of this, or  cubic inches.

Example Question #5 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

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Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve: 

Example Question #6 : Finding Volume Of A Cube

Calculate the volume of the provided figure.


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Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve: 

Example Question #7 : Finding Volume Of A Cube

Calculate the volume of the provided figure.


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Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve: 

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