A person uses a rectangular metallic sheet of 45 m $$\times$$ 30 m for making an open box. From each corner of the sheet he cut offs a square. If the length of one side of each of these squares is 10 m, then what will be the volume of the box (in $$m^{3}$$)?

A person uses a rectangular metallic sheet of 45 m $$\times$$ 30 m for making an open box.

Length of rectangular metallic sheet = 45 m

Breadth of rectangular metallic sheet = 30 m

From each corner of the sheet he cut offs a square. If the length of one side of each of these squares is 10 m.

Length of box = (45-10-10) m

= (45-20) m

= 25 m

Breadth of box = (30-10-10)m

= (30-20)m

= 10 m

Height of box = 10 m

Volume of the box = Length of box $$\times$$ Breadth of box $$\times$$ Height of box

= $$25\times10\times10$$

= 2500 $$m^{3}$$