Question

Three cubes of iron with sides 3cm,4cm and 5cm are melted to form a new cube.What is the side of the new cube

Answer 1

Given
We melt 3 cubes of side 3cm, 4cm, 5cm

Volume of cube =a³

After melt the cube the total volume we
=3³+4³+5³=27+64+125=216cm³

The sum of volume of all three cubes = volume of new cube

Sum of volume 216cm³

So volume of new cube =216cm³

Side =A

A³=216cm³
$a = \sqrt[3]{216}$
A=6cm

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