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?

Question

asked Oct 20, 2023 105k views

1 Answer

Ollien · Answer 1 · 2023-10-26T19:32:20+0000

The surface area of a cube is given by:

$SA=6\cdot l^2$

where:

l = length of one of the sides

so:

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:

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