Question

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, find the volume of the box (in m³).

Answer 1

Since a square is cut from both ends of the length and breadth,

Clearly, l = (48 - 16)m = 32 m,

b = (36 -16)m = 20 m,

h = 8 m.

$\mathrm{Therefore},\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{box}=(32\times 20\times 8)m^3=5120m^3$