The lateral surface area of a cube is `256 m^(2)`. The volume of the cube is

Options

A. `64 m^(3)`
B. `216 m^(3)`
C. `256 m^(3)`
D. `512 m^(3)`

Answer

D

Explanation

`4a^(2) = 256 rArr a^(2) = 64 = 8^(2) rArr a = 8`
`:.` volume `= a^(3) = (8 xx 8 xx 8)m^(3) = 512 m^(3)`