Intermediate Geometry : Cubes

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #51 : Cubes

A cylinder is cut out of a cube as shown by the figure below.

10

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

In order to find the volume of the figure, we must first find the volumes of the cube and the cylinder.

Recall how to find the volume of a cube.

Plug in the given side length of the cube to find the volume.

Next, recall how to find the volume of a cylinder.

Use the given diameter to find the length of the radius.

Find the volume of the cylinder.

To find the volume of the figure, subtract the volume of the cylinder from the volume of the cube.

Make sure to round to  places after the decimal.

Example Question #11 : How To Find The Volume Of A Cube

A cylinder is cut out of a cube as shown by the figure below.

11

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

In order to find the volume of the figure, we must first find the volumes of the cube and the cylinder.

Recall how to find the volume of a cube.

Plug in the given side length of the cube to find the volume.

Next, recall how to find the volume of a cylinder.

Use the given diameter to find the length of the radius.

Find the volume of the cylinder.

To find the volume of the figure, subtract the volume of the cylinder from the volume of the cube.

Make sure to round to  places after the decimal.

Example Question #15 : How To Find The Volume Of A Cube

A cylinder is cut out of a cube as shown by the figure below.

12

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

In order to find the volume of the figure, we must first find the volumes of the cube and the cylinder.

Recall how to find the volume of a cube.

Plug in the given side length of the cube to find the volume.

Next, recall how to find the volume of a cylinder.

Use the given diameter to find the length of the radius.

Find the volume of the cylinder.

To find the volume of the figure, subtract the volume of the cylinder from the volume of the cube.

Make sure to round to  places after the decimal.

Example Question #54 : Solid Geometry

A cylinder is cut out of a cube as shown by the figure below.

4

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

In order to find the volume of the figure, we must first find the volumes of the cube and the cylinder.

Recall how to find the volume of a cube.

Plug in the given side length of the cube to find the volume.

Next, recall how to find the volume of a cylinder.

Use the given diameter to find the length of the radius.

Find the volume of the cylinder.

To find the volume of the figure, subtract the volume of the cylinder from the volume of the cube.

Make sure to round to  places after the decimal.

Example Question #51 : Cubes

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

2

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

Example Question #56 : Solid Geometry

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

3

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

Example Question #1011 : Intermediate Geometry

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

4

Find the volume of the fgiure.

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

Example Question #1012 : Intermediate Geometry

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

5

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

Example Question #1021 : Intermediate Geometry

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

6

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

Example Question #54 : Solid Geometry

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

7

Find the volume of the figure.

Possible Answers:

Correct answer:

Explanation:

13

Start by finding the volume of the cube.

Next, find the volume of the rectangular prism.

Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.

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