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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.
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?
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)?
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.
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
