The square of the diagonal of a cube is 2175 cm2 . What is the total surface area (in cm ) of the cube?
Answer & explanation
Correct answer: option 4
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