Aptitude:: Volume and Surface Area

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1. CUBOID

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

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

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

iii. Diagonal = units.

2. CUBE

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

i. Volume = cubic units.

ii. Surface area = 6sq. units.

iii. Diagonal = a units.

3. CYLINDER

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

i. Volume = cubic units.

ii. Curved surface area = sq. units.

iii. Total surface area = sq. units.

4. CONE

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

i. Slant height, units.

ii. Volume = cubic units.

iii. Curved surface area = sq. units.

iv. Total surface area = sq. units.

5. SPHERE

Let the radius of the sphere be r. Then,

i. Volume = cubic units.

ii. Surface area = sq. units.

6. HEMISPHERE

Let the radius of a hemisphere be r. Then,

i. Volume = cubic units.

ii. Curved surface area = sq. units.

iii. Total surface area = sq. units.

Note: 1 litre = 1000 .