Question

Find the area of card board required to make an open cubical box of side 40 cm. Also find the volume of the box.

Answer 1

To make an open cubical box of side 40 cm with one side open we need to calculate the total surface area of the cuboid and later remove the area to be open from the surface.

Total surface area of the cube $=6a^2=6\times {40}^2=9600c{m}^2$

area of top portion $=40\times 40=1600c{m}^2$

Therefore, area of cardboard required $=9600-1600=8000c{m}^2$

And the volume $={40}^3=64000c{m}^3$