Question

Find the edge length of the cube. (The density of copper is 8.96 g/cm3, and the volume of a cube is equal to the edge length cubed.)

Express your answer with the appropriate units.

Answer 1

`x = 2.13\ cm`

Step-by-step explanation:

See comment for complete question

Given

`Mass = 87.2g`

`Density = 8.96gcm^{-3`

Required

Calculate the edge length of the cube

First, we need to calculate the volume of the cube using:

`Density = (Mass)/(Volume)`

Make Volume the subject:

`Volume= (Mass)/(Density )`

Substitute values for Mass and Density

`Volume= (87.2g)/(8.96gcm^(-3))`

`Volume= (87.2cm^3)/(8.96)`

`Volume= 9.73cm^3`

Represent the edge length with x.

So:

`Volume = x^3`

Substitute x^3 for Volume in
`Volume= 9.73cm^3`

`x^3 = 9.73cm^3`

Take cube root of both sides

`x = \sqrt[3]{9.73cm^3}`

`x = 2.13\ cm` --- approximated

Hence, the edge length is 2.13cm