Question

Three cubes whose lengths are 2 cm, 3 cm and 4 cm respectively are melted to form a single cube. Find the edge of the new cube, supposing there is no waste in the process.

Answer 1

Step 1: Volume of the three cubes

Volume of a cube = a³

1st cube:

2³ = 8 cm³

2nd cube:

3³ = 27 cm³

3rd cube:

4³ = 64 cm³

Step 2: Total volume

8 + 27 + 64

= 99 cm³

Step 3: Let edge of new cube = x

x³ = 99

`x = root(3)(99)`

x = 4.626 cm ...(Approx.)