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Question

A matchbox 4 cm long, 2.5 cm wide, and 1.5 cm high is to be covered exactly with coloured paper. How much paper will be required?

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Solution

Length (l) of the matchbox = 4 cm
Breadth (b) of the matchbox = 2.5 cm
Height (h) of the matchbox = 1.5 cm
Total surface area of the matchbox = 2 (l × b + b × h + h × l)
= 2 (4 × 2.5 + 2.5 × 1.5 + 1.5 × 4) cm2
= 2 (10 + 3.75 + 6) cm2
= 2 (13.75 + 6) cm2
= 2 (19.75) cm2
= 39.5 cm2
∴ 39.5 cm2 of coloured paper will be needed to cover the matchbox.

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