The total surface area and the volume of a cube are found to be equal in magnitude. What is the volume of the cube, if the length of each side is measured in cm ?

Options

A. `175 cm^(3)`
B. `216 cm^(3)`
C. `200 cm^(3)`
D. `125 cm^(3)`

Answer

b

Explanation

The volume of the cube `=LxxLxxL=L^(3)` and the surface area of the cube = 6 (area of one surface) = `6L^(2)`
`because L^(3)=6L^(2) therefore L=6cm`
`therefore` The volume of the cube = `(6)^(3)=216cm^(3)`