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).
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Solution
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.
(1 mark) Therefore,volumeofthebox=(32×20×8)m3=5120m3(1 mark)