Question

if the length of each side is doubled, what is the volume of the new cube?
a. 54 in³
b. 81 in³
c. 108 in³
d. 162 in³
e. 216 in³

Explanation:

Step1: Find the new side - length

The original side - length of the cube is 3 in. When it is doubled, the new side - length $a = 2\times3=6$ in.

Step2: Calculate the volume of the new cube

The volume formula of a cube is $V=a^{3}$. Substitute $a = 6$ into the formula, we get $V = 6^{3}=6\times6\times6 = 216$ in³.

Answer:

E. 216 in³