There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?

(a) Given: Length of cuboidal box (l) = 60 cm
Breadth of cuboidal box (b) = 40 cm
Height of cuboidal box (h) = 50 cm
∴ Total surface area of cuboidal box = 2(lb+bh+hl)
= 2 (60 x 40 + 40 x 50 + 50 x 60)
= 2 (2400 + 2000 + 3000)
= 2 x 7400 = 14800 cm²

(b) Given: Length of cuboidal box (l)= 50 cm
Breadth of cuboidal box (b) = 50 cm
Height of cuboidal box (h) = 50 cm
∴ Total surface area of cuboidal box = 2(lb+bh+hl)
= 2 (50 x 50 + 50 x 50 + 50 x 50)
= 2 (2500 + 2500 + 2500)
= 2 x 7500 = 15000 cm²

Hence, the cuboidal box (a) requires the lesser amount of material to make, since
surface area of box (a) is less than that of box (b).

Class 8 Maths Chapter 11 Exercise 11.3 Solution in Video

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