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