maths p.p.t
TRANSCRIPT
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