A metal sheet 27 cm long,

Question:

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is

(a) 6 cm

(b) 8 cm

(c) 12 cm

(d) 24 cm

Solution:

 The correct answer is option (a) 6 cm

Explanation:

Given that, the metal sheet dimension is 27 cm long, 8 cm broad and 1 cm thick.

Thus, the volume of the sheet = (27)(8)(1) = 216 cm3

It is given that, the metal sheet is melted to make a cube

Let the edge be “a”

Hence, a3 = 216 cm3

a = 6 cm

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