The square of the diagonal of a cube is 2175 cm² . What is the total surface area (in cm ) of the cube?

4350

We know that,

Diagonal of cube = \(\sqrt {3}\) × Side of cube

TSA of cube = 6s²

Given,

The square of the diagonal of a cube is 2175 cm2.

ATQ,

 (\(\sqrt {3}\) × Side of cube)² = 2175

= 3s² = 2175

= s²= 725

TSA of cube = 6 s² = 6 × 725 = 4350 cm²