A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?

Question

Answer 1

A. 284 cm²
B. 286 cm²
C. 296 cm²
D. 300 cm²

Explanation:

Volume of sheet = (27 × 8 × 1)cm³ = 216 cm³

Volume of cube formed = 216 cm³

Therefore, Edge of the cube = (6 × 6 × 6)^1/3 = 6 cm

Surface area of original cuboid = 2 (27 × 8 + 8 × 1 + 27 × 1) cm² = 502 cm²

Surface area of the cube formed = [6 × (6) ²] cm² = 216 cm²

Therefore, Difference in areas = (502 – 216)cm²= 286 cm²

Correct Answer: B. 286 cm² ✔

Last Updated: February 07, 2020