The perimeter of the base of a cuboid is 42cm & height is 9cm. Find the lateral surface area?
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Answered by
3
Answer:
378
Step-by-step explanation:
height = 9cm
perimeter = 42 cm
2(l+b) = 42
l+b = 21
lateral surface area = 2(l*h+b*h)
= 2h (l+b)
= 2 x 9 x 21
= 18 x 21
=378
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Answered by
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Given that,
- Perimeter of the Base of cuboid = 42 cm
- Height of the cuboid = 9 cm
[we know a cuboid has rectangle as it's base]. so,
- Perimeter of rectangle = 42 cm
⇒ 2(l + b) = 42 cm
⇒ (l + b) = 42 cm/2
⇒ l + b = 21cm ------------------------------ equation - 1
- LSA of the cuboid = 2h( l + b )
⇒ LSA = 2×9cm×(21cm) ----------------------------- From equation - 1
⇒ LSA = 378 cm².
∴ The LSA of the cuboid is 378 cm².
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