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Area and Volume of Prisms Area and Volume of Prisms

Area and Volume of Prisms - PowerPoint Presentation

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Uploaded On 2017-10-18

Area and Volume of Prisms - PPT Presentation

1 2 3 4 5 Area and Volume of Pyramids 1 2 3 4 5 Triangles 1 2 3 4 5 Area and Volume of Cones 1 2 3 4 5 Area and Volume of Cylinders 1 2 3 4 5 Area and Volumes of Prisims ID: 597288

area category find volume category area volume find height total radius lateral snow cylinder base tim nearest tebow edge

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Slide1

Area and Volume of Prisms

1

2

3

4

5

Area and Volume of Pyramids

1

2

3

4

5

Triangles

1

2

3

4

5

Area and Volume of Cones

1

2

3

4

5

Area and Volume of Cylinders

1

2

3

4

5Slide2

Area and Volumes of PrisimsSlide3

10

Category 1

Find the volume of a cube with edge 8Slide4

20

Category 1

Find the lateral area, total are and volume of a rectangular solid with length 10, width 8, and height 4.5Slide5

Find the area of the figure

30

Category 1Slide6

Matchsticks

are rectangular prisms of wood measuring approximately: 1/10 inch by 1/10 inch by 2 inches.

Matchsticks are often made from pine trees.Estimate how many matchsticks can be made from this tree (trunk diameter 2 ft.; height 80 ft.).

40

Category 1Slide7

Find the weight, to the nearest kilogram, of the cement block. Cement weighs 1700 kg/m³

50

Category 1Slide8

Area and Volume of PyramidsSlide9

Find the lateral area, total area, volume of a square pyramid with base edge 24 and slant height 13

10

Category 2Slide10

Find the volume of a regular triangular pyramid with base edge 8 and height 10.

20Slide11

A regular square pyramid has base edge 30 and total area 1920. What is the area of the base, the lateral area, and the slant height?

30

Category 2Slide12

Find the volume of a square with a slant height 17in and surface area 800in²

40

Category 2Slide13

Calculate the surface area of the given solid. Round to the nearest tenth

50

Category 2Slide14

Special TrianglesSlide15

Find x and y

10

Category 3Slide16

Find x

20

Category 3Slide17

The altitude of an equilateral triangle is 18

inches. Find the length of a side.

30Category 3Slide18

40

Category 3

Find x and ySlide19

50

Category 3

Find x and ySlide20

Category 4 questions followSlide21

Two similar cones have heights 5 and 20. What is the ratio of their volumes?

10

Category 4Slide22

Find the lateral area, total area, and volume of a cone with height 12 and radius 9.

20

Category 4Slide23

A solid metal cylinder with radius 2 and height 2 is recast as a solid cone with radius 2. What is the height of the cone?

30

Category 4Slide24

If a cone’s radius is 6 and its slant height is 1o. What is its height, total area and volume?

40

Category 4Slide25

Tim Tebow

owns a ski resort in the American West. There’s been hardly any snow this winter, so Tim Tebow decides to order some.(a) Modeling the mountain as a cone 5,000 feet tall and 20,000 feet around the base, what is the total surface area that Tim

Tebow needs to cover?(b) Suppose that Tim Tebow

wants to cover the mountain with three feet of snow. What is the total volume of snow required?

50Category 4Slide26

Area and Volume of CylindersSlide27

Find the lateral area, total area, and volume of a cylinder with radius 10in and height 7in

10

Category 5Slide28

A cylinder has radius 6cm and height 4cm. What is the lateral area and volume?

20

Category 5Slide29

30

Category 5

A cylinder has a radius of 10 and a height of 12. Suppose that the lateral surface of the cylinder is covered with a thin coat of paint having thickness 0.1. What is the volume of the paint? (round to the nearest tenth)Slide30

Each tennis ball is a sphere with

a radius of 3.25 centimeters. Find the volume of the can of tennis balls. Round to the

nearest cubic centimeter.40

Category 5Slide31

Lebron James spends the winters working at a ski lodge. This winter, the ski lodge has gotten a huge amount of snow, so they decide to dig a half-pipe. Assuming that they want to build a 100 meter pipe with the dimensions of the cross-section below, what is the total volume of snow that they will need to remove to create the half-pipe?

50

Category 5