Question

The total surface area of a cube is 12,868cm^2. what is the length of one of the sides? what is the length of a diagonal that is not a diagonal of a face?

Answer 1

The surface area of a cube is given by:

`SA=6\cdot l^2`

where:

l = length of one of the sides

so:

`12868=6l^2`

solve for l:

`\begin{gathered} l=\sqrt[]{(12868)/(6)} \\ l\approx46.31 \end{gathered}`

The length of a diagonal that is not a diagonal of a face is:

`\begin{gathered} d=\sqrt[]{3}l \\ d\approx80.21 \end{gathered}`