# Volume & Surface Area

## 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 = a3
2. Surface Area of Cube = Area of 6 Sides = 6a2
3. Diagonal of Cube

## Cylinder

1. Volume of Cylinder = πr2h
2. Curved Surface Area of Cylinder = 2πrh
3. Total Surface Area of Cylinder = Curved Surface Area + Area of 2 bases = 2πrh+2πr2 = 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 = 4πr2

where 'r' is the radius of Sphere

## Hemisphere

1. Volume of hemisphere
2. Curved Surface Area of hemisphere = 2πr2
3. Total Surface Area of hemisphere = 3πr2

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: