Question

A metal sheet 27 cm long, 8 cm, broad and 1 cm thick is melted in cube. Find the side of cube.

Answer 1

Let , the side of cube be s .

A/Q;

$volume \: of \: metal \: sheet = volume \: of \: cube \\ = > 27cm \times 8cm \times 1cm = {s}^{3} \\ = > 216 {cm}^{3} = {s}^{3} \\ = > s = \sqrt[3]{216 {s}^{3} } \\ = > s = 6cm$

Therefore, side of cube = s= 6 cm

Answer 2

Let , the side of cube be s .

A/Q;

volume \: of \: metal \: sheet = volume \: of \: cube \\ = > 27cm \times 8cm \times 1cm = {s}^{3} \\ = > 216 {cm}^{3} = {s}^{3} \\ = > s = \sqrt[3]{216 {s}^{3} } \\ = > s = 6cm

Therefore, side of cube = s= 6 cm