The diagonal of a cube is 5 √(3) cm. Find the surface area of the cube.

SSC Selection Post 2024 PYQ — Question 65

The diagonal of a cube is 5 $\sqrt{3}$ cm. Find the surface area of the cube.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 150 cm².

Diagonal of cube = $a\sqrt3$

⇒ $a\sqrt3$ = $5\sqrt3$

⇒ a = 5

Surface area = 6a² = 6 × 25 = 150 cm²