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

User Cuducos
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1 Answer

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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}

User Ajerneck
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