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Sixth grade

FF.21 Relate volume andsurface area HVU

The surface area of this cube is 54 square meters. What is the volume?

cubic meters

Submit pls help

Answer 1

27 cubic meters

Explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

• Surface Area
  `=6s^2`

Therefore:

`6s^2=54\\s^2=54/6\\s^2=9\\s=√(9)\\ s=3$ meters`

Volume of a Cube of side length s
`=s^3`

Volume of the cube
`=3^3`

=27 cubic meters

The volume of the cube is 27 cubic meters.