Q3 of 67 Page 187

The dimensions of a box are 50 cm × 36 cm × 25 cm. How many square cm of cloth is needed to make a cover for the box?

The box is like the shape of a cuboid


Length = l = 50 cm


Breadth = b = 36 cm


Height = h = 25 cm


Total surface area of cuboid = 2 × (lb + bh + lh)


⇒ total surface area of box = 2 × (50×36 + 36×25 + 50×25)


= 2 × (1800 + 900 + 1250)


= 2 × 3950


= 7900 cm2


Amount of cloth required to make cover = total surface area of box


Therefore, 7900 cm2 cloth will be required to make cover for the box


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