A cube-shaped box has a volume of 64 cubic inches. What is the area of one of its faces? ____ square inches

Volume Calculation: Let s be the side length of the cube. Volume of a cube is calculated by V = s^3. Given volume: 64 cubic inches. 64 = s^3Solving for s: Solve for s. Take the cube root of both sides. s = cube root of 64 s = 4 inches.Face Area Calculation: Calculate the area of one face of the cube. Area of a face is s^2. Area = 4^2 Area = 16 square inches.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A cube-shaped box has a volume of $64\,\text{cubic inches}$ . What is the area of one of its faces? $\newline$ $\_\_\_\_\_$ square inches

View step-by-step help

Home

Math Problems

Algebra 1

Area and perimeter: word problems

Full solution

Q. A cube-shaped box has a volume of

64\,\text{cubic inches}

. What is the area of one of its faces?

\newline

\_\_\_\_\_

square inches

Volume Calculation: Let $s$ be the side length of the cube. $\newline$ Volume of a cube is calculated by $V = s^3$ . $\newline$ Given volume: $64$ cubic inches. $\newline$ $64 = s^3$
Solving for $s$ : Solve for $s$ . $\newline$ Take the cube root of both sides. $\newline$ $s = \sqrt[3]{64}$ $\newline$ $s = 4$ inches.
Face Area Calculation: Calculate the area of one face of the cube. $\newline$ Area of a face is $s^2$ . $\newline$ Area = $4^2$ $\newline$ Area = $16$ square inches.