# Chapter 10

### Sam D.

## Measurement, Area, and Volume - Section 10

## 10.1

*Base of Parallelogram*: length of

any one of its sides

*Height of Parallelogram: *perpendicular

distance between the base and the

opposite sides

*Bases of a Trapezoid: *its two parallel sides

*Height of a Trapezoid: *perpendicular

distance between the bases

Formulas:

* Area of a trapezoid:

*A=1/2(b + b)h

* *Area of a parallelogram:*

**A=bh*

## 10.2

*Area: *the number of square units covered by a figure

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

*Radius: *distance between the center and any point on the center

*Diameter: * the distance across the circle through the center

*Circumference: *the distance around a circle

*Pi: *the ratio of the circumference of a circle to its diameter* *

Formulas:

*Area of a circle:

*A=pi r square

## 10.3

*Vocabulary:*

* solid:* a three dimensional figure that encloses a part of space

*polyhedron:* solid that is enclosed by polygons

*faces: * polygons that form a polyhedron

*prism: *has two bases and is a polyhedron

*pyramid: *has one base and the edges meet in one point

* cylinder: *two bases that are circular

*cone: *is a solid with one circular base

*sphere: *solid formed by all points in space that are the same distance from a fixed point

*edge: *segments where faces of a polygon meet

*vertex: *where three or more edges meet

## 10.4

*net:*a two dimensional pattern that forms a solid when its folded

*surface area: *the sum of the areas of its faces

*Formulas: *

*Surface area of a prism:

* S=2B+Ph

* Surface area of a cylinder

* S=2B+Ch S= 2 pi*r*r+2*pi*r*h

## 10.5

*Vocabulary:*

*slant height: l*of a regular pyramid is the height of a lateral face (any face but the base)

*Formulas:*

* * Surface area of a Pyramid *

* *S=B+1/2Pl*

* * Surface area of a cone:*

* * S= pi*r*r + pi*r*l *

## 10.6

*Vocabulary:*

*Volume: *is a measure of the amount of space it occupies

*Formula:*

* *Volume of a Prism *

* * V=Bh *

* * Volume of a cylinder *

* * V=bh V= pi*r*r*h*

## 10.7

*Formulas:*

* * Volume of a Pyramid *

* * V=1/3Bh *

* * Volume of a Cone:*

* * V=1/3Bh V=1/3pi*r*r*h *

## Lables

units^3

Area:

units^2