Key Points - Surface Areas and Volumes

1. Surface Area of a Cuboid and a Cube
2. Surface Area of a Right Circular Cylinder
3. Surface Area of a Right Circular Cone
4. Surface Area of a Sphere
5. Volume of a Cuboid
6. Volume of a Cylinder
7. Volume of a Right Circular Cone
8. Volume of a Sphere

(i)
- Polyhedrons Shapes:
Cube: Cube whose edge = a
Diagonal of Cube = sqrt(a)
Lateral Surface Area of Cube = 4a^2
Total Surface Area of Cube = 6a^2
Volume of Cube = a^3

(ii)
Cuboid:

Cuboid whose length = l. breadth = b and height = h
Diagonal of Cuboid = sqrt(l ^2 + b^2 + h^2)
Lateral Surface Area of Cuboid = 2(l + b) h
Total Surface Area of Cuboid = 2 (lb + bh + hl)
Volume of Cuboid = lbh

- Non-polyhedrons: 
Cylinder: Cylinder whose radius = r. height = h
Curved Surface Area of Cylinder = 2π rh
Total Surface Area of Cylinder = 2π rh(r + h)
 
Volume of Cylinder = π r 2 h (ii)
Cone: Cone having height = h. radius = r and slant height = l
Slant height of Cone (l) =sqrt(( r ^2 + h^2)
Curved Surface Area of Cone = π rl
Total Surface Area of Cone = π r (r + l )
Volume of Cone = 1/3  * πr ^2h

(iii)

Sphere:

Sphere whose radius = r
Surface Area of a Sphere = 4π r ^2
Volume of Sphere = 4/3 πr^3
(iv)

Hemisphere:

Hemisphere whose radius = r
Curved Surface Area of Hemisphere = 2π r ^2
Total Surface Area of Hemisphere = 3π r ^2
Volume of Hemisphere = 2/3 π r ^3