Chapter 10

Hour 2 (Sydney W)

10.1

Vocabulary

Area: the number of square units covered by a figure


Base: the lowest part or edge that a shape rests on


Height: the perpendicular distance between the side whose length is the base and the opposite side or vertex


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


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


Trapezoid: a quadrilateral with exactly one pair of parallel sides


Parallelogram: a quadrilateral with both pairs of opposite sides parallel


Rhombus: a parallelogram with four congruent sides

All Formulas in 10.1

A = b * h


A = 1/2 * (b1 + b2) * h

A = b * h

Area of a rectangle, parallelogram, and square.

Lets Practice:

A = 1/2 * (b1+b2) * h

Area of a trapezoid.
Video

Area of a Trapezoid

Lets Practice:

Answer: 70 cm squared

10.2

Vocabulary

Area: the number of square units covered by a figure


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 a circle through the center


Circumference: the distance around a circle


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

All Formulas in 10.2

Area = Pi * radius squared


Circumference = pi * radius * 2

Circumference = pi * diameter

Diameter = radius * 2


Area of Two Circles = 2 * pi * radius squared

Area = pi * radius squared

Area of a circle. Area of two circles is: 2 * Pi * radius squared

Lets Practice (use 3.14 for pi)

Answer = 113.04 cm squared

Area = 2 * pi * radius squared

Area of two circles

Circumference = 2 * pi * radius

Circumference = pi * diameter

Diameter = 2 * radius

Circle Labels

Big image

10.4

Vocabulary

Net: a two-dimensional representation of a solid. This pattern forms a solid when it is folded.


Surface Area: the sum of the faces of an object

S = 2B + Ph

(Surface Area of a Prism)


S = surface area

B = area of the base

P = perimeter of the base

h = height

Lets Practice

Answer: 96 ft squared

S = 2B + Ch

S = 2 * pi * radius squared + pi * diameter (radius * 2)

(Surface Area of a Cylinder)


S = surface area

B = area of the base

C = circumference

h = height

Video

Surface area of a Cylinder

Lets Practice (use 3.14 for pi)

Answer: 246.08 in squared

10.5

Vocabulary

Slant Height: the height of a lateral face, that is any face that is not the base

S = B + 1/2 * P * l

(Surface Area of a Pyramid)


S = surface area

B = area of base

P = number of triangles

l = area of each triangle

Lets Practice

Answer: 1,425 ft squared

S = pi * radius squared + pi * radius * l

(Surface Area of a Cone)


S = surface area

l = slant height

Video

Surface Area of a Cone

Lets Practice (use 3.14 for pi)

Answer: 75 cm squared

10.6

Vocabulary

Volume: the measure of the amount of space an object occupies

V = B * h

(Volume of a Cylinder)


V = volume

B = area of base (pi * radius squared)

h = height

Lets Practice (use 3.14 for pi)

Answer: 50.24 cm cubed

V = B * h

Volume of a Prism

Lets Practice

Answer: 1920 m cubed

10.7

Vocabulary

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


Cone: A solid with one circular base


Volume: the measure of the amount of space an object occupies

V = B * h * 1/3

Volume of a Pyramid
Video

Volume of a Prism

Lets Practice

Answer 112 in cubed

V = 1/3 * B (pi * radius squared) * h

Volume of a Cone

Lets Practice (use 3.14 for pi)

Answer: 1,004.8 m cubed

S = 4 * pi * radius squared

Surface area of a sphere

V = 4/3 * pi * radius cubed

Volume of a Sphere
Video

Volume of a Sphere

Let's Practice

use 3.14 for pi and round to the nearest tenths if necessary


Answer: 267.9

Review with real life tie ins

Wrapping a present

A party store sells wrapping paper with two square feet on each role. You are wrapping a present and you need to find how much wrapping paper you need. The length of the box is 3 feet and the width is 2 feet. The height is 2 feet as well. How many rolls of wrapping paper do you need to cover the present? Answer: 6 rolls

How It's Made : Tennis Balls

They need to know how big the molds have to be, how much felt is needed, and how big the cylinders need to be to fit the tennis balls just right.
Video

How It's Made: Tennis Balls