Three cubes of metal whose edges are 6 cm,

Question:

Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is

(a) 12 cm

(b) 24 cm

(c) 18 cm

(d) 20 cm

Solution:

The correct answer is option (a) 12 cm

Explanation:

Given that, the sum of the volume of the three metal cubes = 63 + 8+103

V = 216+ 512+ 1000

V = 1728 cm3

Let the side of the new cube be “a”

Therefore, the volume of the new cube = sum of the volume of the three cubes

a3 = 1728

Hence, a = 12 cm

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