# VOLUME AND SURFACE AREA -IMPORTANT FACTS AND FORMULA

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

1. Volume = (l x b x h) cubic units.
2. Surface area = 2 (lb + bh + lh)

1. II. CUBE
Let each edge of a cube be of length a. Then,
2. Volume = a³ cubic units.
3. Surface area = 6a² sq. units.
4. Diagonal = √3 a units.
III. CYLINDER
Let radius of base = r and Height (or length) = h Then,
5. Volume = (Πr²h) cubic units.
6. Curved surface area = (2Πrh) sq. units.
7. Total surface area = (2Πrh + 2Πr² sq. units)
= 2Πr (h + r) sq. units.
IV. CONE
Let radius of base = r and Height = h. Then,
8. Slant height, l = 􀶥(􀝎􀬶 + ℎ􀬶) units.
9. Volume = [1/3 Πr²h] cubic units.
10. Total surface area = (Πrl + Πr²) sq. units.
V. SPHERE
Let the radius of the sphere be r. Then,
11. Volume = [4Πr3/3] cubic units.
12. Surface area = (4Πr²) sq. units.
VI. HEMISPHERE
Let the radius of a hemisphere be r. Then,
13. Volume = [2Πr3/3] cubic units.
14. Curved surface area = (2Πr²) sq. units.
15. Total surface area = (3Πr²) sq. units.
Remember: 1 litre = 1000 cm³.