Question

A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww of the artifact. a. Write an expression for the volume of the case. Write your answer as a power. Written as a power, an expression for the volume is . b. Simplify the expression. A simplified expression for the volume is .

Answer 1

A cube is a 3d object bounded by  6 square faces. 

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

a. Write an expression for the volume of the case.
 volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)³

Volume = 27w³