Question

a fish tank is in the shape of a cube. the volume of the tank is 64 cubic feet. what is the width, in inches, of one side of the fish tank? 96 inches 192 inches 256 inches 48 inches

Explanation:

Step1: Recall cube volume formula

The volume \( V \) of a cube is given by \( V = s^3 \), where \( s \) is the length of one side (in feet here, since volume is in cubic feet).

Step2: Solve for side length in feet

We know \( V = 64 \) cubic feet. So, \( s^3 = 64 \). Taking the cube root of both sides, \( s=\sqrt[3]{64}=4 \) feet.

Step3: Convert feet to inches

Since 1 foot = 12 inches, multiply the side length in feet by 12. So, \( 4\times12 = 48 \) inches.

Answer:

48 inches (the option with "48 inches")