# Chapter 10

### Abbi L.

## Section 1

**Vocabulary:**

__base of a parallelogram__- the length of any one of its sides

__Height of a parallelogram__- the perpendicular distance between the base and the opposite side

__Bases of a trapezoid__- its 2 parallel sides

__Height of a trapezoid__- the perpendicular distance between the bases

## Area of a parallelogram

ALGEBRA- A=bh

## Area of a Trapezoid

ALGEBRA- A=1/2(b1+b2)h

## Section 2

**Vocabulary:**

__area__-The amount of surface the figure covers

__radius__- distance from the center to the edge

__circumference- __distance around the circle

## Area of a circle

ALGEBRA- A=pir2

## Section 3

**Vocabulary:**

__Polyhedron__: a solid the is enclosed by polygons

__Prism__:a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms

__Pyramid__: one base, the other faces are triangles

__Cone__: a solid with one circular base

## Section 4

__Net:__a 2d pattern that forms a solid when it is folded

__Surface Area: __Sum of the areas of its faces

## Surface area of a Prism

ALGEBRA- S= 2B+Ph

(B= area of the base)(P= Perimeter of the base)

## Surface Area of a Cylinder

ALGEBRA-S=2B+Ch=2pir2+2pirh

(C=circumference of the base)

## Section 5

*Vocabulary*

__Slant Height:__The height of the lateral face(any face that is not the base)

## Surface Area of a Pyramid

ALGEBRA- S= B+ .5Pl

## Surface Area of a Cone

ALGEBRA- S=pir2+pirl

## Application You work at an ice cream shop and you need them to all look the same | ## Finding the surface area You work at an ice cream shop and you need to make it the correct size so that it fits the same amount of ice cream. | ## In the end They should look about the same in size and yummy!! |

## Section 6

*Vocabulary*__Volume:__ The amount of space a solid object occupies

## Volume of a Prism

ALGEBRA- V=Bh

## Volume of a cylinder

ALGEBRA- V=Bh

ALGEBRA- V=pir2h

## Section 7

cone-^

volume-^

## Volume of a Pyramid

ALGEBRA- V=1/3Bh

## Volume of a cone

ALGEBRA- V= 1/3Bh

ALGEBRA- V=1/3pir2h

## Volume of a Sphere

ALGEBRA- V=4/3pir3

(the surface area and the volume can be the same)