A rectangular metallic block is 16 cm long . 8 cm broad and 4 cm thick . If it is melted and converted into a cube , find the surface area of the cube

Question

asked Jul 15, 2020 187k views

2 Answers

Darraghmurphy · Answer 1 · 2020-07-21T02:14:03+0000

Answer:

384 cm²

Explanation:

Calculate the volume of metal in the block

V = 16 × 8 × 4 = 512 cm³

Then the volume of the cube = 512 cm³

That is

s³ = 512 ← s is length of side of cube, hence

s =
$\sqrt[3]{512}$ = 8 cm

The cube has 6 square faces, hence

surface area = 6 × 8² = 6 × 64 = 384 cm²