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 = √(l2 + b2 + h2) units.

2. CUBE


Let each edge of a cube be of length a. Then,
Volume = a3 cubic units.
Surface area = 6a2 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.

4. CONE


Let radius of base = r and Height = h. Then,
Slant height, l = √ (h2 + r2) units.
Volume = 1/3*πr2h cubic units.
Curved surface area = (πrl) sq. units.
Total surface area = (πrl + πr2) sq. units.

5. SPHERE


Let the radius of the sphere be r. Then,
Volume = 4/3*πr3 cubic units.
Surface area = (4πr2) sq. units.

6. HEMISPHERE


Let the radius of a hemisphere be r. Then,
Volume = 2/3*πr3 cubic units.
Curved surface area = (2πr2) sq. units.
Total surface area = (3πr2) sq. units.
Note: 1 litre = 1000 cm3.