### Volume and Surface Area

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__Volume & Surface Area__

Volume & Surface Area

### 1. CUBOID

Let length = l, breadth = b and height = h units. Then

Volume = (l x b x h) cubic units.

Surface area = 2(lb + bh + lh) sq. units.

Diagonal = √(l

Volume = (l x b x h) cubic units.

Surface area = 2(lb + bh + lh) sq. units.

Diagonal = √(l

^{2}+ b^{2}+ h^{2}) units.### 2. CUBE

Let each edge of a cube be of length a. Then,

Volume = a

Surface area = 6a

Diagonal = √3a units.

Volume = a

^{3}cubic units.Surface area = 6a

^{2}sq. units.Diagonal = √3a units.

### 3. CYLINDER

Let radius of base = r and Height (or length) = h. Then,

Volume = (π r2h) cubic units.

Curved surface area = (2 π rh) sq. units.

Total surface area = 2πr(h + r) sq. units.

Volume = (π r2h) cubic units.

Curved surface area = (2 π rh) sq. units.

Total surface area = 2πr(h + r) sq. units.

### 4. CONE

Let radius of base = r and Height = h. Then,

Slant height, l = √ (h

Volume = 1/3*πr

Curved surface area = (πrl) sq. units.

Total surface area = (πrl + πr

Slant height, l = √ (h

^{2}+ r^{2}) units.Volume = 1/3*πr

^{2}h cubic units.Curved surface area = (πrl) sq. units.

Total surface area = (πrl + πr

^{2}) sq. units.### 5. SPHERE

Let the radius of the sphere be r. Then,

Volume = 4/3*πr

Surface area = (4πr

Volume = 4/3*πr

^{3}cubic units.Surface area = (4πr

^{2}) sq. units.### 6. HEMISPHERE

Let the radius of a hemisphere be r. Then,

Volume = 2/3*πr

Curved surface area = (2πr

Total surface area = (3πr

Note: 1 litre = 1000 cm

Volume = 2/3*πr

^{3}cubic units.Curved surface area = (2πr

^{2}) sq. units.Total surface area = (3πr

^{2}) sq. units.Note: 1 litre = 1000 cm

^{3}.