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CHAPTER 5 - PowerPoint PPT Presentation


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CHAPTER 5. MEASUREMENT. SECTION 5-1. Ratios and Units of Measure. MEASUREMENT – is a process used to find size, quantities, or amounts. COMPASS – is used for drawing curved lines and circles for measuring distances. PROTRACTOR – is an instrument for measuring and drawing angles.

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chapter 5

CHAPTER 5

MEASUREMENT

section 5 1

SECTION 5-1

Ratios and Units of Measure

section 5 2

SECTION 5-2

Perimeter, Circumference and Area

slide17

Circle

C = d or 2r

A =r2

slide18

Rectangle or Square

P = 2l + 2w

A = lw

slide19

Triangle

A = ½bh

slide21

Trapezoid

A = ½h(b1+b2)

section 5 3

SECTION 5-3

Probability and Area

slide24

P(any event) =

number of favorable outcomes ÷ number of possible outcomes

section 5 4

SECTION 5-4

Problem Solving Skills: Irregular Shapes

section 5 5

SECTION 5-5

Three-dimensional Figures and Loci

slide28

The surfaces are called faces. Two faces intersect at an edge, and a vertex is a point where three or more edges intersect.

slide29

PRISM - a polyhedron with two identical parallel faces. Each of these faces is called a base and

slide31

PYRAMID - a polyhedron with only one base. The other faces are triangles that meet at a vertex and

slide35

CYLINDER - a three-dimensional figure having a curved region with two parallel congruent circular bases. Its axis joins the centers of the two bases.

slide36

CONE - a three-dimensional figure having a curved surface and one circular base. Its axis is a segment from the vertex to the center of the base.

slide37

SPHERE - is the set of points in space that are the same distance from a given point called the center of the sphere.

section 5 6

SECTION 5-6

Surface Area of Three-dimensional Figures

slide42

Square prism

SA = 6s2

slide43

Rectangular Prism

SA = 2(lw + lh + wh)

slide45

Circular base

A = r2

slide46

Curved surface

A = 2rh

slide47

Cylinder

SA = 2rh + 2r2

slide48

Cone

SA = rs +r2

S is the slant height

slide49

Sphere

SA = 4r2

section 5 7

SECTION 5-7

Volume of Three-dimensional Figures

slide52

Prism

V = Bh

where B = area of the given base

slide53

Pyramid

V = 1/3Bh

where B = area of the given base

slide54

Cylinder

V = r2h

slide55

Cone

V = 1/3r2h

slide56

Sphere

V = 4/3r3