# Solid Geometry: Cubes

This is an MCQ-based quiz for GRE on the topic of Cubes.

A cube has six equal, square-shaped sides. Cubes also have eight vertices (corners) and twelve edges, all of the same length. The angles in a cube are all right angles.

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What is the volume of a rectangular box that is twice as long as it is high, and four times as wide as it is long?

2L^2 2L^3 8 4L^3 5L

The surface area of a cube is 486 units.  What is the distance of its diagonal (e.g. from its front-left-bottom corner to its rear-right-top corner)?

9 9√(3) 9√(2) None of the others 81

Quantity A: The length of a side of a cube with a volume of 343 in^3. Quantity B: The length of a side of a cube with surface area of 294 in^2.

Quantity A is larger. The two quantities are equal Quantity B is larger. The relationship between the two quantities cannot be determined.

What is the volume of a cube with a surface area of  150 in^2?

25 in^3

5 in^3

125 in^3

150 in^3

325 in^3

What is the length of the diagonal of a cube that has a surface area of  726 in^2?

12√2 in

22 in

11√3 in

12 in

11 in

What is the length of the diagonal of a cube with side lengths of  4 in each?

√15 in

12 in

14√3 in

4√3 in

3√2 in

You have a rectangular box with dimensions 6 inches by 6 inches by 8 inches. What is the length of the shortest distance between two non-adjacent corners of the box?

6

8√2

8

6√2

4√3

If a cube has a total surface area of 54 square inches, what is the length of one edge?

9 in

3*cube root(2) in

There is not enough information given.

sqrt(13.5) in

3 in

What is the length of an edge of a cube with a surface area of 1350in^2?

25 in

305 in

225 in

15 in

85 in

The volume of a cube is 64 in^3. If the side length of this cube is tripled, what is the new volume?

1728 in^3

192 in^3

1024 in^3

768 in^3

924 in^3

Quiz/Test Summary
Title: Solid Geometry: Cubes
Questions: 10
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