MATHS P.P.T TOPIC :- “Lateral

Surface Area And Total Surface Area Of Cylinder, Cone, Cube

And Cuboid”By :SANKALP . R . ANGADI

What is a Cylinder• The term Cylinder refers to a right

circular cylinder.

• Like a right prism, its altitude is

perpendicular to the bases and has an

endpoint in each base.

Notice that we had formed 2 circles and a 1 rectangle…….

The 2 circles serves as our bases of our Cylinder and the rectangular region represent the body.

EXAMPLEFind the surface area of a cylindrical

water tank given the height of 20m and the radius of 5m? {Use π as 3.14}

o Given: H= 20m R= 5m SA= V=2πr2  +2πrh =2(3.14)(5m) 2 +2(3.14)(5m)(20m) =157m2 + 628m2

SA = 785m2

2. SURFACE AREA OF A CUBOID

Faces of Cuboid To find the surface area of a shape, we calculate

the total area of all of the faces.

• A Cuboid has 6 faces.

The top and the bottom of the Cuboid have the same area.

Faces of Cuboid To find the surface area of a shape, we calculate

the total area of all of the faces.

A Cuboid has 6 faces. The front and the back of the

Cuboid have the same area.

Faces of Cuboid To find the surface area of a shape, we calculate

the total area of all of the faces.

A Cuboid has 6 faces. The left hand side and the right hand side of

the Cuboid have the same area.

3. SURFACE AREA OF A CUBE

What is a Cube A cube is a three-dimensional shape that has

equal width, height, and length measurements. A cube has six square faces, all of which have

sides of equal length and all of which meet at right angles.

Finding the volume of a cube is a snap - generally, all that's needed is to multiply the cube's length × width × height.

Since a cube's sides are all equal in length, another way of thinking of a cube's volume is s3, where s is the length of one of the cube's sides.

SURFACE AREA OF A CUBE

All six faces of a cube have the same area.

• The area of each face is

x x x= x 2

Surface Area of a Cube = 6 x 2

Lateral Surface of Cube

Cube NET

 

Example

 

Length = 12Width = 4Height = 3 

----------------------------------------------------

Volume = length x width x height 

Volume = 12 x 4 x 3 = 144

AL=πrh2+r2Lateral Surface Area Of A Cone

FORMULAES

• cube = a 3  • rectangular prism = a b c  • irregular prism = b h  • cylinder = b h = pi r 2 h  • pyramid = (1/3) b h  • cone = (1/3) b h = 1/3 pi r 2 h  • sphere = (4/3) pi r 3  • ellipsoid = (4/3) pi r1 r2 r3