Answer:
a). The first set; 2 by 6 by 6 inches
b). The second; 8 by 3 by 3 inches
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