Question

A cube with a volume of 7290cm3, what would the edge length be in radical simplest form?

Answer 1

Given

A cube with a volume of 7290cm^3, what would the edge length be in radical simplest form?

Solution

`\begin{gathered} \text{Volume of a cube=Length}^3 \\ \end{gathered}`
`\begin{gathered} \text{Volume =7290cm}^3 \\ L=\text{?} \\ \text{Let's substitute } \\ 7290=l^3 \\ \text{Take the cube root of both sides} \\ \sqrt[3]{7290}=\sqrt[3]{l^3} \end{gathered}`
`\begin{gathered} 9\sqrt[3]{729*10}\text{ =L} \\ \sqrt[3]{729}*\sqrt[3]{10}\text{ =L} \\ 9*\sqrt[3]{10}\text{ =L} \\ 9^{}\sqrt[3]{10}\text{ =L} \end{gathered}`

The final answer

`The\text{ edge length =9}\sqrt[3]{10}`