﻿ Volume Surface-Area

# Volume Surface-Area- Facts & Formulae

1. Cuboid:
Let length = l, breadth = b & height = h units Then,
• Volume = (l x b x h) cu units
• Surface Area = 2 (lb + bh + hl) sq. units
• Diagonal = √ l 2 +b2 +h2 units
2. Cube:
Let each edge of a cube be of length a. Then,
• Volume = a 3 cu units
• Surface Area = 6a 2 sq. units
• Diagonal = √ 3 x a units
3. Cylinder:
Let radius of base = r & height (or length) = h. Then,
• Volume = (∏r 2h) cu. units
• Curved Surface Area = (2∏rh) sq. units
• Total Surface Area = 2∏r(r + h) sq. units
4. Cone:
Let radius of base = r & height = h. Then,
• Slant height, l = √ h 2+r 2 units
• Volume = (⅓∏r 2h) cu. units
• Curved Surface Area = (∏rl) sq. units
• Total Surface Area = ∏r(r + l) sq. units
5. Sphere:
Let the radius of the sphere be r. Then,
• Volume = (4/3 ∏r 3) cu. units
• Surface Area = (4∏r 2) sq. units
6. Hemi-sphere:
Let the radius of the sphere be r. Then,
• Volume = (2/3 ∏r 3) cu. units
• Curved Surface Area = (2∏r 2) sq. units
• Total Surface Area = (3∏r 2) sq. units