Question

A cube has a volume of 1/8 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your answers as simplified fractions when necessary. The length of the side of the cube is m; find a fraction that, when multiplied by itself

times, equals

Answer 1

Volume of a cube= 1/8 cubic meter

We know that volume of a cube= side x side x side

`(side)^(3)`=
`(1)/(8)`

From here, we get side of cube=
`(1)/(2)` meter

Hence, the side of a cube =
`(1)/(2)` meter

We have to find a fraction, when it is multiplied by itself

`(1)/(2)` x
`(1)/(2)` =
`(1)/(4)`

Here we get our answer
`(1)/(4)`