Find the volume of a cube whose surface area is `96\ c m^2` (ii) `150\ m^2`

Explanation

(i)`96 m^2`
Total Surface Area`=96m^2`
Let the side be `x`
Total surface area of cube`=6(side)^2`
`96=6(x)^2`
`96/6=x^2`
`16=x^2`
`4 m=x`
volume of cube`=(side)^3`
Volume of a cube`=4^3=64m^3`
`therefore` Volume of a cube`=64m^3`

(ii)`150 m^2`
Total Surface Area`=150m^2`
Let the side be `x`
Total surface area of cube`=6(side)^2`
`150=6(x)^2`
`150/6=x^2`
`25=x^2`
`5m=x`
volume of cube`=(side)^3`
Volume of a cube`=5^3=125m^3`
`therefore` Volume of a cube`=125m^3`