find the lateral surface area and total surface area of the cuboid whose height ,length and breadh are25cm, 20cm, 15cm
Answers
Answer:
lateral surface area of cuboid is 2(l+b)h
2(25+20)15
2×45×15
1350 cm answer
total surface area of cuboid is lb+bh+lh
25×20+20×15+25×15
1174 cm answer
I hope it may help you
Given :-
- Length of Cuboid = 20cm
- Breadth of Cuboid = 15cm
- Height of Cuboid = 25cm
To Find :-
- The Lateral Surface Area of Cuboid
- The Total Surface Area of Cuboid
Solution :-
❍ As we know that, Lateral Surface Area of a Cuboid and Total Surface Area of a Cuboid are given by [ L.S.A = 2(l + b)h ] [ T.S.A of cuboid = 2(lb + bh + lh) ] respectively where l , b and h stands for Length , Breadth and Height respectively.
Lateral Surface Area :
⟾⠀⠀L.S.A of Cuboid = 2 (l + b) × h
⟾⠀⠀L.S.A of Cuboid = 2 ( 20 + 15 ) × 25
⟾⠀⠀L.S.A of Cuboid = 2 × 35 × 25
⟾⠀⠀L.S.A of Cuboid = 70 × 25
⟾⠀⠀L.S.A of Cuboid = 1750cm²
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➞ T.S.A of Cuboid = 2(lb + bh + lh)
➞ T.S.A = 2(20 × 15 + 15 × 25 + 20 × 25)
➞ T.S.A = 2( 300 + 375 + 500 )
➞ T.S.A = 2( 800 + 375 )
➞ T.S.A = 2 × 1175
➞ T.S.A of Cuboid = 2350cm²
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Therefore :-
- L.S.A of Cuboid = 1750cm²
- T.S.A of Cuboid = 2350cm²
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