Question

If the volume of the cube belowis 27 units cubed,what is the total surface area ofthe cube in unitssquared?

Answer 1

Let's begin by listing out the information given to us:

We have a Cube

The volume of a Cube is given by length multiplied by length, multiplied by length:

`\begin{gathered} v=l^3 \\ v=23,l=\text{ ?} \\ 27=l^3\Rightarrow l^3=27 \\ \sqrt[3]{l^3}=\sqrt[3]{27}\Rightarrow l=3 \\ l=3units \end{gathered}`

The surface area of a Cube is given by the number of faces multiplied by length, multiplied by length:

`\begin{gathered} A=6l^2 \\ l=2units \\ A=6\cdot3^2=6\cdot9=54 \\ A=54units^2 \end{gathered}`