A cube has a face area of 64 square centimeters. what is the volume of the cube?

The face of one side of a cube is a square shape. The formula for the area of a square

A=s² where s=side length

plug in the data we know

64cm²=s²

√64cm²=s

8cm=s

The side length on the cube is 8cm

The formula for the volume of a cube is

V=s³ where s=side length

plug in the data that we know

V=8³

V=512cm³

The faces of a cube is a squar

square area=side^2

given

side area=squae area=64

64=side^2

sqrt both sides

8=side

volume = lenght times width times height

in a cube, lenght = widht = height=side=8

in this case they all equal 8

volume=8 times 8 times 8

volume=512 cubic centimeters