# Chapter 10

### Tristin K

## Section 1

The formula to fin the area of a parallelogram is A=b*h

The formula to fin the area of a trapezoid is A=0.5(b1+b2)h

## Vocabulary

Height of a parallelogram= The perpendicular distance between the base and the opposite side.

Bases of a trapezoid=Its two parallel sides.

Height of a trapezoid= The perpendicular distance between the basses.

## Example

A=2.5*1.8

A=4.5m2

Do not forget to have squared or else it will be wrong.

## Example of a Trapezoid

A=0.5*(23+15)*9

A=90.5units 2

## Now You Try

What is the area of Trapezoid 1.

Answer: P=75cm2 T=26m2

## Real Life of a Trapezoid

## Real Life of a Parallelogram

## Section 2

The formula for this is A=3.14*r^2.

## Vocabulary

Circle: The set of all points in a plane that are the same distance, called the radius, from a fixed point, called the center.

Radius:The distance between the center and any point on the circle.

Diameter:The distance across the circle through the center.

Circumference: The distance around the circle.

Pi: The ratio of the circumference of a circle to its diameter.

## Example

A=3.14*2^2

A=12.56units2

## Practice

Answer=78.5m2

## Real Life

## Section 3

## Vocabulary

Polyhedron: A solid that is enclosed by polygons.

Face: A polygon that is a side of the polyhedron.

Prism: A solid, formed by polygons, that has two congruent bases lying in parallel planes.

Pyramid: A solid. formed by polygons, that has one base. The base can be ant polygon, and the other faces are triangles.

Cylinder: A solid with two congruent circular bases that lie in parallel planes.

Cone: A solid with one circular base.

Sphere: A solid formed by all points in space that are the same distance from a fixed point called the center.

Edge: A line segment where two faces of the polyhedron meet.

Vertex: A point at which three or more edges of a polyhedron met.

## Example

Answer=No, and cylinder

## Practices

Answer: F=6 E=12 V=8

## Real Life

## Section 4

## Vocabulary

Surface Area: Sum of the areas of its faces.

## Example

Prism:

Cylinder:

## Practice

Cylinder=75.36units2

Prism=230m3

## Real Life

## Section 5

This section is on surface area on cones and pyramids.

The formula for the surface area is S=B+1/2Pl.## Vocabulary

## Example

Start with the formula S=B+1/2Pl.

Don't forget the BIG B stands for the area of the base, the BIG P is the perimeter of the base' and the l is the lateral surface area.

Then fill it in with the correct number such as,

S=15+1/2*8*4

S=31cm2

## Practice

Use the formula S=B+1/2Pl.

The base width is 4, base length is 4, and side length is 7

Answer=72units3

## Real Life

## Section 6

## Vocabulary

## Example

You will need to find the area of the base to get the B and then the height is the distance from base to base.

Fill it in,

V=12*6

V=72units3

## Practice

Answer:1648.5ft3

## Real Life

## Section 7

## Vocabulary

Cone: A solid with one circular base.

Volume: The amount space the solid occupies.

## Example

The formula is V=1/3Bh

So first find the area of the base then the height of the pyramid or cone.

It for the base of a cone would be, 3.14*r^2 or a pyramid would be a l*w.

Know that you know what the BIG B is know find the height.

After you found that fill in the blanch and you will get your volume.

For more help my door is always open in the morning if you need it.

## Practice

The length of the radius is 4 and, the height is 5.

Find the Volume.

Answer=87.73units3

## Real Life

## All the Formulas

A=1/2(b1+b2)h, area of a trapezoid.

A=3.14r^2, area of a circle.

S=2B+Ph, Surface Area of a prism.

S=2B+Ch, Surface Area of a cylinder.

S=B+1/2Pl, Surface area of a pyramid.

S=3.14r^2+3.14rl, Surface Area of a cone.

V=Bh, Volume of a prism and cylinder.

V=1/3Bh, Volume of a pyramid and cone.

V=4/3*3.14r^3, Volume of a sphere.