Question

I need this answer fast! Please!

Answer 1

`\large\boxed{\begin{array}cLength:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}`

Explanation:

The formula of a volume of a cube with side length a:

`V=a^3`

We have a = 6cm. Substitute:

`V=6^3=216\ cm^3`

`\begin{array}c216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}`

`216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots`