Ex 11.3, 1 There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
The box with lesser total surface area will require lesser amount of material to make.
Let’s find total surface area of both boxes
Total Surface Area of Box (a)
This box is a cuboid with
Length = l = 60 cm
Breadth = b = 60 cm
Height = h = 60 cm
Total surface area of box
= Total surface area of cuboid
= 2(𝑙𝑏+𝑏ℎ+ℎ𝑙)
Total Surface Area of Box (b)
This box is a cube with
Side = a = 50 cm
Total surface area of box
= Total surface area of cube
= 6𝑎^2
= 6×(50)^2 = 6×50×50
= 6×2500 = 15000 𝑐𝑚^2
= 2(60×40+40×50+50×60)
= 2(2400+2000+3000)
= 2×74000.
= 148000 𝑐𝑚^2
Since total surface area of box (a) is lesser than the total surface area of box (b).
∴ Box (a) requires lesser amount of material to make.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.