area of a parallelogram area of a triangle circumference & area of a circle

Area of a Parallelogra

m

Area of a Triangle

Circumference & Area of a

Circle

Solid Figures

Surface Area of a Prism

Volume of a Prism

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What is the formula for the area of a parallelogram?

Area = base x height

(A = b x h)

What is the area of this parallelogram?

8 in.

6 in.

Area = base x height

A = 8 x 6

A = 48 in.2

The height of a parallelogram has to form what type

of line with the base?

The height forms a perpendicular

line with the base.

What is the area of this parallelogram?

10 cm.

5 cm. 7 cm.

Area = base x height

A = 10 x 5

A = 50 cm.2

What is the height of the parallelogram?

h = ?

20 in.

A = 180 in.2

Area = base x height

A = b x h180 = 20 x h180 ÷ 20 = h

height = 9 in.

What is the formula for the area of a triangle?

x base x height

Find the area of the triangle shown below

3 m

11 m

x base x height

X 11 x 3

A = 16.5 m2

Find the area of the triangle shown

below

16 cm

8 cm

x base x height

A = 64 cm2

Find the total area of the figure below

6 cm

10 cm 5 cm

1. Area of rectangleA = l x wA = 10 x 6A = 60 cm2

3. Add ALL areas together to get total area

60 + 15 = 75 cm2

What is the height of the triangle

below?

h = ?

Area = 50 in.2

20 in.

50 = 10 x hh = 50 ÷

10h = 5 in.

What is the formula for

circumference of a circle?

Circumference = 2πr

(C = 2πr)Or

Circumference = π diameter(C = πd)

What is the formula for area

of a circle?

Area = πr2

(A = πr2)

Find the circumference of the circle below

5 in.

Circumference = πdC = 3.14 x 10C= 31.4 in.

Find the area of the circle below

12 ft.

radius = 12 ÷ 2r = 6 ft.

Area = πr2

A = 3.14 x 62

A = 113.04 ft.2

Find the circumference of the tree trunk

4 ft.

Circumference = πd

C = 3.14 x 4C = 12.56 ft.

Classify the following solids

CylinderRectangular

PrismTriangular Prism

Classify the following solids

ConeSquare pyramid

Sphere

Count the number of faces, edges, and

vertices of the figure below:

Faces: 5Edges: 8

Vertices: 5

Count the number of faces, edges, and

vertices of the figure below:

Faces: 6Edges: 12Vertices: 8

Count the number of faces, edges, and

vertices of the figure below:

Faces: 5Edges: 9

Vertices: 6

Find the surface area of the rectangular prism:

(front or back) 4 x 6 = 24 cm2

(left or right) 4 x 3 = 12 cm2

(top or bottom) 6 x 3 = 18 cm2

24 + 24 + 12 + 12 + 18 + 18 = 108 cm2

Find the surface area of the cube :

4 in.

4 in

4 in

(front or back) 4 x 4 = 16 in.2

(left or right) 4 x 4 = 16 in.2

(top or bottom) 4 x 4 = 16 in.2

16 + 16 + 16 + 16 + 16 + 16 = 96 in.2

You want to make a toy box that is 2 feet by 1 foot by 3 feet. A sheet of plywood is 4 feet by 8 feet. Do you have enough wood to construct the

box?

Plywood 4 ft.

8 ft.

2 ft.

3 ft.

1 ft.

Toy box

2 ft.1 ft.

3 ft.

Toy box surface area:2 x 1 = 2 ft.2

2 x 3 = 6 ft.2

1 x 3 = 3 ft.2

2 + 2 + 6 + 6 + 3 + 3 = 22 ft.2

Area of plywood:A = length x widthA = 8 x 4A = 32 ft.2

4 ft.

8 ft.

Yes, you will have enough wood, because 32 ft.2 is greater than 22

ft.2

You want to wrap a gift that is 6 inches by 10 inches by 4 inches. The label on the wrapping paper says it covers a total area of 250

in.2 Do you have enough wrapping paper to cover the entire box?

10 in.

6 in.

4 in.

6 x 10 = 60 in.2

6 x 4 = 24 in.2

10 x 4 = 40 in.2

60 + 60 + 24 + 24 + 40 + 40 = 248 in.2

Yes, you do have enough wrapping paper, because you have enough

paper to cover 250 in.2 and the gift is only 248 in.2

(248 in.2 is less than 250 in.2)

Find the surface area of the figure below:

6 ft.

4 ft.

3 ft.

4 ft.

6 ft.

3 ft.

3 x 6 = 18 ft.2

3 x 4 = 12 ft.2

4 x 6 = 24 ft.2

18 + 18 + 12 + 12 + 24 + 24 = 108 ft.2

What is the formula for finding the

volume of a solid?

Volume = length x width x height

(V = l x w x h)

Find the volume of the rectangular prism

below:

8 in.

2 in.

6 in.

Volume = length x width x height

V = 6 x 8 x 2

V = 96 in.3

Find the volume of the rectangular prism below:

Volume = length x width x height

V = 6 x 3 x 4

V = 72 cm.3

You have a cube whose dimensions for length, width, and

height are all the same. If the volume of the cube is 125 in.3, what are the dimensions for length, width, and height?

Volume = length x width x height

125 in.3 = 5 in. x 5 in. x 5 in.

Length = 5 inchesWidth = 5 inchesHeight = 5 inches

A pool at an aquarium is a rectangular prism that is 30 meters wide and 12

meters deep. The volume of the pool is 21, 600 cubic meters. How long is the

pool?

30 m

12 m

?

Volume = length x width x height

21,600 = L x 30 x 1221,600 = L x 360L = 21,600 ÷ 360

L = 60 m

The length of the pool is 60 meters.

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