Tan Wen Hao

Darshiini Vig

Yvonne Tan

Welson Lum

Kong Zhen Chung

Mathematics (MTH 30104)

Cylinder & Prism

Cylinder Triangular Prism

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

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

Pi r^2 Pi r^2

2 pi r h

h

2 pi r

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

PrismIn 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

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

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

½ x b x h

½ x b x hx

y

xy xy

z

yz

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

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)

Exercises