Question

four hollw cubical boxes each having outer adges 1.0 m are joined to form a double bed in which top face is a squre.If the wood used is of thickness 5 cm and all the four boxes can be opened, then what is the capacity of the boxes of the double bed in cubic meteres?

Answer 1

The 4 cubes are joined to form a double bed in which the top face is a square.

This means, the 4 cubes are stacked on top of each other.

Then, the volume of the cuboid thus formed $$\begin{gathered} =\left(100-2\times 5\right)\times \left(100-2\times 5\right)\times \left(4\times 100-2\times 5\right)c{m}^3 \\ =3159000c{m}^3 \\ =3.159m^3 \end{gathered}$$