Question

Three solid metal cubes with edges $6cm,8cm$ and $10cm$ respectively are melted together and formed into a single cube. Find the volume of new cube.

Answer 1

As we know that,

Volume of cube $=a^3$

Here, $a$ is the edge of cube

Volume of small cube of edge $6cm=6^3=216{cm}^3$

Volume of small cube of edge $8cm=8^3=512{cm}^3$

Volume of small cube of edge $10cm={10}^3=1000{cm}^3$

Here,

Volume of new cube $=$ Sum of colume of all cubes

Therefore,

Volume of new cube $=1000+216+512=1728{cm}^3$