Question

Write the formula of curved surface area and the volume of shapes given below. (1) cube (2) cuboid (3) cylinder (4) cone (5) sphere (6) hemisphere

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Answer 1

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1) Cube

Volume = x³

Surface area = 6x²

 

2) Cuboid

Volume = xyz

Surface area = 2xy + 2xz + 2yz

 

3) Cylinder

Volume = π r²h

Area of curved surface = 2π rh

Area of each end = π r²

Total surface area = 2π rh + 2π r²

 

4) Cone

Volume = πr²h/3

Curved surface area of a cone = πrl

Total surface area of a cone = πr(l+r)

 

5) Sphere

Volume = (4/3) × π × r³

Surface Area = 4 × π × r²

 

6) Hemisphere

Volume = 2/3 ×π×r³

Curved surface area = 2πr²

Total surface area = 3πr²

Answer 2

Step-by-step explanation:

1) Cube

Volume = x³

Surface area = 6x²

 

2) Cuboid

Volume = xyz

Surface area = 2xy + 2xz + 2yz

 

3) Cylinder

Volume = π r²h

Area of curved surface = 2π rh

Area of each end = π r²

Total surface area = 2π rh + 2π r²

 

4) Cone

Volume = πr²h/3

Curved surface area of a cone = πrl

Total surface area of a cone = πr(l+r)

 

5) Sphere

Volume = (4/3) × π × r³

Surface Area = 4 × π × r²

 

6) Hemisphere

Volume = 2/3 ×π×r³

Curved surface area = 2πr²

Total surface area = 3πr²