Find the total surface area of a cube whose volume is .
Step 1: Find the edge length of the cube. Use the formula for the volume of a cube.
First convert the mixed number to an improper fraction. Then solve for the cube's edge length . To find the cube root of a fraction, take the cube root of the numerator and the cube root of the denominator.
So, the cube's edge length is .
Step 2: Find the total area of the cube.
Multiply the area of one face by 6.