Question

The dimensions of a rectangular sheet of metal are 6.5m and 3m. Out of this sheet, closed boxes of dimensions of length=15cm, breadth=6cm and height = 5cm are made. How many such boxes can be made in all?

Answer 1

length of rectangular sheet = 6.5 m

breadth of sheet = 3 m

area of sheet = 6.5*3 = 19.5m²

length of one box = 15 cm = 15/100 m = 0.15 m

breadth of box = 6 cm = 0.06 m

height of box = 5 cm = 0.05 m

total surface area of box = 2(lb + bh + hl)
= 2(0.15*0.06 + 0.06*0.05 + 0.05*0.15)
= 2(0.09 + 0.003 + 0.0075)
= 2(0.0978)
= 0.1956m²

total boxes that can be made by rectangular sheet = area of sheet / area of one box
= 19.5/0.1956 = 99.6 = 100 approx