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Question
Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.
Solution
Length of the box, l = 20 cm
Breadth of the box, b = 12 cm
Height of the box, h = 10 cm
∴ The surface area of the vertical faces of the box
= 2(l + b) × h
= 2(20 + 12) × 10
= 2 × 32 × 10
= 640 cm2
Also,
The total surface area of the box
= 2(lb + bh + hl)
= 2(20 × 12 + 12 × 10 + 10 × 20)
= 2(240 + 120 + 200)
= 2 × 560
= 1120 cm2
Thus, the surface area of the vertical faces and the total surface area of the box are 640 cm2 and 1120 cm2, respectively.
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