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Sum

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

Lenght of the box, l = 20 cm

Breadth of the box, b = 12 cm

Height of the box, h = 10 cm

∴ Surface area of the vertical faces of the box

= 2(l + b) × h

= 2(20 + 12) × 10

= 2 × 32 × 10

= 640 cm^{2}

Also,

Total surface area of the box

= 2(lb + bh + hl)

= 2(20 × 12 + 12 × 10 + 10 × 20)

= 2(240 + 120 + 200)

= 2 × 560

= 1120 cm^{2}

Thus, the surface area of vertical faces and total surface area of the box is 640 cm^{2} and 1120 cm^{2}, respectively.

Concept: Surface Area of a Cuboid

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