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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.
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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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