Math, asked by suriyasusendran837, 1 year ago

A cuboid has total surface area of 40m² and its lateral surface area is 26m² find the area of base

Answers

Answered by kiki9876
12
Here is the answer
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Answered by yadavsv09
1

✠Given:−

Total Surface Area = 40m

Lateral Surface area = 26m

✠ToFind:−

What is the Surface Area of Base ?

✠Solution:−

TotalSurfaceArea=2(SurfaceAreaofbase)+(LateralSurfaceArea)

:⟶40=2(SurfaceAreaofbase)+26

:⟶40−26=2(Surface Area Of Base)

:⟶14=2(Surface Area base)

:⟶

2

14

=Surface Area Of Base

:⟶7=SurfaceArea of base

━━━━━━━━━━━━━━━━━━━━━━━━━

∴SurfaceAreaofbase=

7m

2

━━━━━━━━━━━━━━━━━━━━━━━━━

★ Additional Info :

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = 4/3πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

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