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A cube has $6$ faces, each with an area of $16$ square units. What is the volume of the cube? $\newline$ ____ cubic units

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Area and perimeter: word problems

Full solution

Q. A cube has

6

faces, each with an area of

16

square units. What is the volume of the cube?

\newline

____ cubic units

Calculate side length: Step $1$ : Calculate the side length of the cube. $\newline$ Since each face of the cube is a square with an area of $16$ square units, the side length s can be found by taking the square root of the area. $\newline$ $s = \sqrt{16}$ $\newline$ $s = 4$ units
Calculate volume: Step $2$ : Calculate the volume of the cube. $\newline$ The volume V of a cube is given by the cube of the side length. $\newline$ $V = s^3$ $\newline$ $V = 4^3$ $\newline$ $V = 64$ cubic units

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