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Each face of a cube has an area of $4$ square units. What is the volume of the cube? $\newline$ ____ cubic units

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Area and perimeter: word problems

Full solution

Q. Each face of a cube has an area of

4

square units. What is the volume of the cube?

\newline

____ cubic units

Determine side length: Step $1$ : Determine the side length of the cube. Since each face of the cube is a square with an area of $4$ square units, the side length can be found by taking the square root of the area. Calculation: $s = \sqrt{4} = 2$ units.
Calculate volume: Step $2$ : Calculate the volume of the cube. $\newline$ The volume of a cube is given by the cube of the side length. $\newline$ Calculation: Volume = $s^3 = 2^3 = 8$ cubic units.

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