SarkariPYQ

SSC Selection Post 2022 PYQ — Question 68

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 2 • Quantitative Aptitude • Q68

Back to paper

The square of the diagonal of a cube is 2346 cm2. What is the total surface area (in cm2) of the cube?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4692.

Diagonal of a cube = a3a\sqrt3

here, a = side

Now,

⇒ (a3)2(a\sqrt3)^2 = 2346

⇒ 3a2 = 2346

⇒ a2 = 782

Surface area of cube = 6a2 = 6 × 782 = 4692 cm2