# Aptitude volume and surface area

1. CUBOID
2. 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.
3. CUBE
4. Let each edge of a cube be of length a. Then,

• Volume = a3 cubic units.
• Surface area = 6a2 sq. units.
• Diagonal = 3a units.
5. CYLINDER
6. Let radius of base = r and Height (or length) = h. Then,

• Volume = (πr2h) cubic units.
• Curved surface area = (2πrh) sq. units.
• Total surface area = 2πr(h + r) sq. units.
7. CONE
8. 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.
9. SPHERE
10. Let the radius of the sphere be r. Then,

• Volume = (
4 / 3
πr3h) Cubic Units.
• Surface area = (4πr2) sq. units.
11. HEMISPHERE
12. Let the radius of a hemisphere be r. Then,

• Volume = (
2 / 3
πr3h) Cubic Units.
• Curved surface area = (2πr2) sq. units.
• Total surface area = (3πr2) sq. units.

Note: 1 litre = 1000 cm3.