Question

A cube-shaped planter holds 27/729 cubic feet of potting soil. What is the side length of the planter?

Answer 1

Amount of potting soil present in cube shaped planter =
`(27)/(729)` cubic feet

Volume of a cube with side side length 'a' is given by the formula =
`a^3`

Since, Volume of planter =
`(27)/(729)`

Let the side of planter be 'x'.

So, Volume of cube planter =
`x^3`

So,
`x^3 = (27)/(729)`

`x = ((27)/(729))^(1)/(3)`

`x ={ {((3)/(9))}^3}^ {* (1)/(3)}`

So,
`x = (3)/(9)`

`x = (1)/(3)` feet

Therefore, the side length of the planter is
`(1)/(3)` feet.