Question

A small cube has the volume shown. Its side length is 3.5 in. less than a​ second, larger cube. What is the volume of the larger​ cube?

Volume:85 in^3

Answer 1

`493.039 \;in^3`

Explanation:

If each side of the cube is
`a` then the volume of the cube is given by
`a^3`

If Volume is
`V` then each side
`a = \sqrt[3]{V}`

Here we are given the volume of the smaller cube as
`85\; in^3`

So each side of this cube =
`\sqrt[3]{85} = 4.396 \approx 4.4 \;in`

and each side of the larger cube
`= 4.4 + 3.5 = 7.9\;in`

Volume of larger cube
`= 7.9^3 = 493.039 \; in^3`

Answer 2

not possible

Explanation: