Intermediate Geometry : Cubes

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #11 : Cubes

If the surface area of a cube is , what is the length of one side of the cube?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #11 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is , find the length of one side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #11 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is , find the length of one side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Example Question #12 : Cubes

If the surface area of a cube is , find the length of one side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #15 : Solid Geometry

If the surface area of a cube is , find the length of a side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #971 : Intermediate Geometry

If the surface area of a cube is , find the length of a side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #971 : Intermediate Geometry

If the surface area of a cube is , find the length of a side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #18 : Solid Geometry

If the surface area of a cube is , find the length of a side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

Since the question asks you to find the length of a side of this cube, rearrange the equation.

Substitute in the given surface area to find the side length.

Simplify.

Reduce.

Example Question #981 : Intermediate Geometry

A cubic swimming pool has edge lengths of . In meters, how deep will the pool be if  of water is added to the pool?

Possible Answers:

Correct answer:

Explanation:

We have the length, the width, and the volume for this cube. We just need to figure out the height.

Recall how to find the volume of a cube:

Normally, these three values would be the same. However, in this case, since the pool is not being filled up the entire way, the height of the cube will be different from its length and width.

The pool will be  meters deep.

 

Example Question #982 : Intermediate Geometry

 

If a cube has a volume of , what would be the length of the sides of the cube?

Possible Answers:

Correct answer:

Explanation:

A geometric cube has edges, all of equal length and the formula to solve for volume is:

And since all edges are of equal length, we can use this formula to solve for length of sides:

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