Chapter 10

Ben R

All Formula's

Trapezoid: A=1/2(b1+b2)h

Parallelogram: A=b*h

Triangle: 0.5*b*h

Circle: A=πr²

Surface Area

Pyramid: S=B +1/2Pl

Volume

Prism: V= Bh

Cylinder: V=Bh

Cone: V=1/3*B*h

10-1

Area of parallelogram

A=b*h

Vocab: The area of a parallelogram is the product of the base and the height.

Practice Problems: h=7 b=9

A=63

Area of a Trapezoid

A=0.5(b1+b2)h

Vocab: The area of a trapezoid is one half the product of the sum of the bases and the height.

Practice Problems: b1=4 b2=5 h=2

A=9

Area of a trapezoid

10-2

Area of a Circle

A=πr²

Vocab: The area of a circle is the product of π and the square of the radius.

Practice Problems r=4

A=50.27

Real Life Examples

If a company would to be designing mirrors and come across a circle they would use this very formula to see the perfect size of mirrors.
Area of a circle

10-4

Surface Area of a Prism

S=2B+Ph

P= Perimeter

H= Height

B=Base

Vocab: The surface area of a prism is the sum of twice the area of a base B and the product of the bases perimeter P and the height h.

Practice problems:B=4 P=8 h=6

A=38

Real Life Examples

If you are making a cereal box you need to know how much cardboard you need for a certain size box and you need to know how big an average cabinet is so it will fit in there.

10-5

Surface area of a Pyramid

S=B+0.5Pl

Vocab: The surface area of a regular pyramid the sum of the area of the base B and one half the product of the base perimeter and the slant height l.

Practice Problems: B=25 P=20 l=10

A=125

Real Life Examples

The Egyptians had to plan exact measurements to make sure the tombs inside would be stable and also the make sure that the blocks would fit on.
Surface Area Of A Pyramid

Surface area of a cone

S=πr²+πrl
Vocab: The surface area of a cone is the sum of the area of the circular base with radius r and the product of pi, the radius r of the base, and the slant height l.

Practice Problems: r=3 l=10

10-6

Volume of Prism

V=Bh

Vocab: The volume of a prism is the product of the area of the base B and the height h.

Practice Problems: B=24 h=6

A=144

Volume of a Cylinder

V=Bh

Vocab:The volume of a cylinder is the product of the area of a base B and the height h.

practice problems: h=12 r=5

A=942.48

10-7

Volume of a Pyramid

V=1/3Bh

Vocab:The volume V of a pyramid is one third the product of the area of the base B and the height h.

Practice Problems: l=4 w=4 h=15

A=80

Volume of a Cone

V=1/3Bh=1/3πr²h

Vocab:The volume of a cone V is tone third the product of the area of the base B and the height h.

Practice Problems: r=3 h=6

A=56.55

Real Life Examples

If a company is designing a party hat they need to find out how big the head is and how high the hat should be to make a perfect party hat.

Extra

Volume of a Sphere

V=4/3πr^3

Vocab: The number of cubic units that will exactly fill a sphere.

Practice problems: r=7

A=1436.76

Volume of a Sphere - MathHelp.com - Math Help

BY: Ben Rucinski