Question

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. Find the edge of the new cube formed.

Answer 1

Volume of first metal cube = $a^3$=$6^3$= 216 $c{m}^3$

Volume of second metal cube = $a^3$=$8^3$
= $512c{m}^3.$

Volume of third metal cube =$a^3$=${10}^3$
= 1000 $c{m}^3$

Total Volume =1728 $c{m}^3$

The length of edge of the new cube = $\sqrt[3]{31728}$=12 cm.