Avery is designing a box. He needs the box to have a volume of 72 cubic inches. Give tow sets of measurements that he could use as the dimensions of the box.

a). The first set; 2 by 6 by 6 inches

b). The second; 8 by 3 by 3 inches

Step-by-step explanation:

Step 1: Determine the formula of the volume

Volume=length*width*height

Step 2: Assume one width

Use width=2 inches, and solve for length and height

Step 3: Substitute

width=2 inches

length=height=x

volume=72 cubic inches

72=2*x²

x²=72/2=36

x=√36=6 inches

The first set; 2 by 6 by 6 inches

Step 3: Assume the length

Assume length=8 inches

width=height=y

volume=72

replacing;

72=8*y²

y²=72/8=9

y=√9=3

The second set of measurement is 8 by 3 by 3 inches