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Mathematics

A cuboid is 8 m long, 12 m broad and 3.5 m high. Find its

(i) total surface area

(ii) lateral surface area

Surface Area, Volume, Capacity

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Answer

(i) Given:

Length of cuboid = 8 m

Breadth of cuboid = 12 m

Height of cuboid = 3.5 m

The total surface area of the cuboid = 2(l x b + b x h + h x l)

= 2 (8 x 12 + 12 x 3.5 + 3.5 x 8) m2

= 2 (96 + 42 + 28) m2

= 2 x 166 m2

= 332 m2

Hence, the total surface area of the cuboid is 332 m2.

(ii) Lateral surface area of cuboid = 2(l + b)h

= 2(8 + 12)3.5 m2

= 2 x 20 x 3.5 m2

= 140 m2

Hence, the lateral surface area of the cuboid is 140 m2.

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