Cylinder & Prism

1. Tan Wen Hao
Darshiini Vig
Yvonne Tan
Welson Lum
Kong Zhen Chung
Mathematics (MTH 30104)

2. Cylinder & Prism
Cylinder Triangular Prism

3. Cylinder
The base, B
Height, h
Base is a circle,
Area of circle =
pi r*2
Where r is the radius of
the circle
r

4. Volume of Cylinder
=Base x Height
=pi r^2h

5. Pi r^2 Pi r^2
2 pi r h
h
2 pi r

6. Surface area of Cylinder
= 2 (pi r^2) + 2 pi rh
(top and bottom circle + rectangle)

7. Prism
In geometry, a prism is a polyhedron with an n-sided polygonal base, another
congruent parallel base (with the same rotational orientation), and n other faces
(necessarily all parallelograms) joining corresponding sides of the two bases.
The base, B
Height, h

8. Base is a triangle,
Area of triangle =
1/2 x b x h
Where b is the base of
triangle, h is the height.
h
b

9. Volume of Prism (Triangular)
=Base x Height
=(1/2 x b x h) x H

10. ½ x b x h
½ x b x h
x
y
xy xy
z
yz

11. Surface area of Prism
= 2(1/2 x h x b) + 2xy + yz
=hb + 2xy + yz
Two triangles + 2 rectangle (side) + rectangle (base)*
*3 rectangle could be same if the triangle equilateral triangle

12. Similarity between cylinder
and prism
• Both volume are base x height where a
cylinder is a circle-based shaped, prism is
triangular base.*
• Both have identical bases. (top=bottom)

13. Exercises