Question

Consider this cube with a volume of 64 cubic centimeters. What can be concluded of this cube? Check all that apply. The expression s2, where s represents the side length, was used to solve for the volume. This is a perfect cube. The side length is 8. The side length is 4. Taking the cube root of the volume will determine the side length.

Answer 1

Answers on edugenuity

B

D

E

Answer 2

(B)This is a perfect cube.

(D)The side length is 4.

(E)Taking the cube root of the volume will determine the side length.

Explanation:

Given a cube with a volume of 64 cubic centimeters.

The following conclusions can be reached:

(B)This is a perfect cube.

64=4 X 4 X4

(D)The side length is 4.

Volume of a Cube =
`s^3`

4 X 4 X4 =64 cubic centimeters.

(E)Taking the cube root of the volume will determine the side length.

`\sqrt[3]{64}=4 cm`

These are not valid conclusions.

(A)The expression
`s^2`, where s represents the side length, was used to solve for the volume.

(C)The side length is 8.