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Question
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
Solution
Dimensions of cuboidal tin box are 20 cm × 16 cm × 14 cm,
∴ Area of metal sheet for 1 box = Surface area of cuboid
= 2(lb + bh + hl)
= 2(20 × 16 + 16 × 14 + 14 × 20)
= 2(320 + 224 + 280)
= 2(824)
= 1648 cm2
∴ Area of metal sheet required to make 10 such boxes = 10 × 1648 = 16480 cm2
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