Question

Three metallic solid cubes whose edges are 1m, 2m, and 3m are melted and converted into a single cube. Find the edge of the cube so formed ?

• A. $2.2$ m
• B. $3.0$ m
• C. $3.3$ m
• D. $3.9$ m

Answer 1

The correct option is C $3.3$ m

The edge of three cubes are 1m, 2m and 3m
Volume of three cubes are, $1^3,2^3$ and $3^3$ ie. $1,8$ and $27m$
$\therefore$ Volume of the new cube = $1+8+27=36c{m}^3$
Let edge of the new cube be a
$\therefore a^3=36\Rightarrow a=\sqrt{36}$
$a=3.3m$
Hence, edge of new cube = 3.3 m