Question

if a cube with side length 6 inches has its dimensions divided in half, what will be the volume of the new cube?
a 108 cubic inches
b 54 cubic inches
c 27 cubic inches
d 9 cubic inches

a

b

c

d

Explanation:

Step1: Find new side length

Original side length is 6 inches. Divide by 2: $6 \div 2 = 3$ inches.

Step2: Calculate new volume

Volume of a cube is $V = s^3$, where $s$ is side length. Substitute $s = 3$: $V = 3^3 = 27$ cubic inches.

Answer:

C. 27 cubic inches