## Cuboid

1. Volume of Cuboid = Length X Breadth X Height = l X b X h

2. Surface Area of Cuboid = 2(lb+bh+lh)

3. Diagonal of Cuboid

## Cube

1. Volume of Cube = a

^{3}2. Surface Area of Cube = Area of 6 Sides = 6a

^{2}3. Diagonal of Cube

## Cylinder

**1. Volume of Cylinder = πr**

^{2}h**2. Curved Surface Area of Cylinder = 2πrh**

**3. Total Surface Area of Cylinder = Curved Surface Area + Area of 2 bases = 2πrh+2πr**

^{2}= 2πr(r+h)## Cone

**1. Slant height of Cone**

**2. Volume of Cone**

**3. Surface Area of Cone**

**4. Total Surface Area of Cone**

## Sphere

1. Volume of Sphere

2. Curved Surface Area of Sphere = 4πr

^{2}where 'r' is the radius of Sphere

## Hemisphere

1. Volume of hemisphere

2. Curved Surface Area of hemisphere = 2πr

^{2}3. Total Surface Area of hemisphere = 3πr

^{2}where 'r' is the radius of hemisphere

## Hollow Sphere

**1. Volume of Hollow Sphere**

## Prism

1. Volume of Prism = Area of base X height

2. Lateral Surface Area of Prism = Perimeter of Base X height

3. Total Surface Area of Prism = Lateral Surface Area of Prism + (2 X Area of Base)

## Pyramid

1. Volume of Pyramid = 1/3 X area of base X height

2. Total Surface Area of Pyramid = Area of Base + Lateral Area

**Note:**

1. Three cubes of metals of side a, b and c respectively, recast into a cube. If there is no loss of weight during this process. Then side of new cube will be=

2. If a cube of side a recast into the small cubes of side b, then the number of small cubes=

3. If a sphere of radius r recast into cylinder of radius b, then the height of cylinder=

4. If the length, breadth & height of cuboid are increased by x%, y% abd z% respectivley, then the volume of cuboid is increased by:

5. If each side of a cube is increased by x%, then the volume of cube is increased by: