Cuboid : If the length of a cuboid is l, breadth is b (sometimes we also use breadth as width 'w') and the height is 'h'.
The formula for the lateral surface area, total surface area and its volume of a cuboid are 

Lateral Surface area of a Cuboid= Area of four walls = 2 (length + breadth) x height =
= 2 (l + b) x h 

Total Surface area of a Cuboid = 2 (length x breadth + breadth x height + height x length)
= 2 (lb + bh + hl) 

Volume of a Cuboid = length x breadth x height = lbh 
Cube : Basically a cube is a special type of a cuboid in which length, breadth and its height are equal i.e. length = breadth = height and it is also called an edge of a cube.
The formula for the lateral surface area, total surface area and its volume of a cube are 

Lateral Surface area of a Cube = Area of four walls = 4 (edge)2 

Total Surface area of a Cube = 6 x (edge)2 

Volume of a Cuboid = (edge)3 
Right Circular Cylinder : It the radius of a right circular cylinder is 'r' and its height is 'h'.
Then the curved surface area, total surface area and volume formula is given by 

Area of the base of a cylinder = r2 

Area of curved surface = Lateral surface area = Perimeter of the base x Height of cylinder 

Total surface Area = 2rh + 2r2 = 2r (h + r) 
Right Circular Hollow Cylinder : If the radius of internal and external cylinder is 'r' and 'R' respectively.
Then the formula for curved and total surface area, volume of a hollow cylinder is given by 

Area of curved surface = (Area of External Surface) + (Area of Internal Surface)
= 2Rh + 2rh 

Total Surface Area = Curved surface area + 2 (Area of the base ring)
= (2Rh + 2rh) + 2(R2  r2)
= 2(R + r) (h + R  r) 

Volume of a hollow cylinder : Exterior Volume  Internal Volume
= (R2 h  r2h)
= h (R2  r2) 
Right Circular Cone: If r be the radius, h be the height and l be the slant height of a right circular cone.
Then the slant height, area of its curved surface and volume is given by the formula 

Slant height (l) = √(h2 + r2) 

Area of a Curved Surface = rl = r √(h2 + r2) 

Total Surface area = Area of a curved surface + Area of a Base
= rl + r2
= r ( l + r) 

Volume of a cone = 1/3 r2h 
Sphere: If r be the radius of a sphere.
Then the formula for its surface area and its volume is given by 

Surface Area = 4r2 

Volume = 4/3 r2 
Spherical shell : If r be the radius of internal, and R be the radius of external spherical shell.
Then the surface area and volume is given by the formula 

Curved Surface Area = 4R2 

Volume = 4/3 R3  4 /3 r3= 4/3 (R3  r3) 
Hemisphere: If r be the radius of internal, and R be the radius of external spherical shell.
Then the surface area and volume is given by the formula 

Curved Surface Area = 2r2 

Total Curved Surface Area = Area of curved Surface + Area of its Base = 2r2 + r2 = 3r2 

Volume = 2/3 r3 
Frustum of a Cone : Fructum is a latin word and the meaning is 'piece cut off'. If any right circular cone is cut off by a plane, which is parallel to its base, then the portion of the cone between the plane and the base of a cone is known as a fractum of a cone.
Then the formula for curved and total surface area, volume of a frustum of a cone is given by 

Curved Surface Area = l (R + r) where l = √[h2 + (R  r) 2] 

Total Curved Surface Area = [R2 + r2 + l (R + r)] 

Volume = 1/3 h [R2 + r2 + Rr] 

Here :
h = Vertical height of the frustum
l = slant height of the frustum
R = radius of the top
r = radius of the bottom 