Question

A diagonal of a cube measures 15 cm and the length of an edge of the cube is V75 cm.

What is the length of the diagonal of a face of the cube? Round to the nearest tenth.

Answer 1

the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)

Explanation:

`\text{diagonal of the cube} =\ \left( \text{edge} \right) * √(3)`

`=√(75) * √(3)`

`=√(225)`

`=15`

`\text{diagonal of the face} =\left( \text{edge} \right) * √(2)`

`=√(75) * √(2) \\\\=√(150) \\\\=12.247448713916`