Question

Question 21

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) 23 cm (d) 24 cm

Answer 1

Given, a metal sheet 27 cm long, 8 cm broad and 1 cm thick.
Then, volume of the sheet (cuboidal) $=l\times b\times h$
$=27\times 8\times 1=216c{m}^3$
Now, since this sheet is melted to form a cube of edge length a (say).
Then, volume of the cube = Volume of the metal sheet
$\Rightarrow a^3=216c{m}^3$
$\Rightarrow a=6cm$
Hence, the side of the cube is 6 cm.