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Cross Sections of a Pentagonal Pyramid & their shapes

Pentagon

A=base edge

H=height

Surface area

Lateral area: 1/2 Ph

Lateral area: 1/2 (27.5) (7.5)

Lateral area: 103.125cm^2

total: 1/2 Pl+B

total: 1/2 (27.5) (7.5)+(1/2 aP)

total: 103.125+ 1/2 (2.75)(27.5)

total:103.125+37.8125

total:140.9375cm^2

Triangle

Pentagonal Pyramid

Shapes created with slicing a Pentagonal Pyramid

Triangle

Pentagon

Pentagonal Pyramid

yeah but thats called cross sections, what is slide 9 for then?

cross sections of a Cylinder

Volume of a Cylinder

Lateral Surface Area

V= πr^2h

V=π(4.1)^2 (14.5)

V=π(16.81)(14.5)

V=771.03

cm

Volume: 1/3 Bh

V: 1/3(1/2)(2.75)(27.5) 7.5

V: 94.53cm^3

A=2πrh

A=2π(4.1)(14.5)

A=373.54

Total Surface Area for cylinder

14.5=

4.1=

A=2πrh+2πr2

A=2π4.1h+2π4.1(2)

A=2π4.1(14.5)+2π4.1(2)

A≈479.16

Formulas for a Cylinder

Total Surface area=2πrh+2πr2

Lateral Area= 2πrh

Volume (V)=πr2h

Cylinder Net

radius of circle:8.2 cm

Height of Rectange:14.3

A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface.

Net

Pentagonal Pyramid

a pentagonal pyramid has a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex).

Cylinder & Pentagonal Pyramid

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