View by Category

Loading...

PPT – PRISMS AND CYLINDERS: VOLUMES, SURFACE AREAS, AND WEIGHTS PowerPoint presentation | free to view - id: 20c2a4-ZDc1Z

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

UNIT 28

- PRISMS AND CYLINDERS VOLUMES, SURFACE AREAS, AND

WEIGHTS

PRISMS

- A polyhedron is a three-dimensional (solid)

figure whose surfaces are polygons - A prism is a polyhedron that has two identical

(congruent) parallel polygon faces called bases

and parallel lateral edges - Prisms are named according to the shape of their

bases, such as triangular, rectangular,

pentagonal, and octagonal - The volume of any prism is equal to the product

of the base area and the altitude

VOLUME OF A PRISM

- Compute the volume of the prism shown below

- V ABh

- This prism has a rectangular base so
- AB length ? width

AB (60cm)(20cm) 1200 cm2

- Now, V ABh
- (1200 cm2)(25 cm)
- 30000 cm3 Ans

CYLINDERS

- A circular cylinder is a solid that has identical

circular parallel bases - The surface between the bases is called the

lateral surface. - The altitude (height) of a circular cylinder, is

a perpendicular segment that joins the planes of

the bases - The axis of a circular cylinder is a line that

connects the centers of the bases - In a right circular cylinder the axis is

perpendicular to the bases - The volume of right circular cylinders is the

same as prisms - V ABh

VOLUME OF A CYLINDER

- Find the volume of the cylinder shown below given

that the bases have a radius of 16 centimeters

- V ABh

- The cylinder has a circular base, so
- AB ?r2 ?(16 cm)2 804.248 cm2

50 cm

- Now, V ABh
- (804.248 cm2)(50 cm)
- 40212.39 cm3 Ans

TRANSPOSING VOLUME FORMULAS

- An engine piston has a height of 18.6 centimeters

and a volume of 460 cubic centimeters. Find the

radius of the piston

- The piston is a circular cylinder, so V ABh

?r2h

- Substitute the given measurements into the

formula and solve for r

V ?r2h 460 cm3 ?r2(18.6 cm)

r 2.806 cm Ans

LATERAL AND SURFACE AREAS

- The lateral area of a prism is the sum of the

areas of the lateral faces. The lateral area of a

cylinder is the area of the curved or lateral

surface - The lateral area of a right prism equals the

product of the perimeter of the base and height - The lateral area of a right circular cylinder is

equal to the product of the circumference of the

base and height - The surface area of a prism or a cylinder equals

the sum of the lateral area and the two base areas

SURFACE AREA EXAMPLE

- Find the surface area of the circular cylinder

below given that it has a radius of 8 inches

- The surface area is equal to the sum of the
- lateral area and the two base areas

- Lateral area CBh

2?(8)(40)

2010.62 in2

- Area of base ?r2

?(8)2 201.062 in2

- Surface area 2010.62 201.062 201.062

2412.744 in2 Ans

PRACTICE PROBLEMS

- 1. Find the volume of a rectangular prism with a

length of 10 meters, width of 15 meters, and

height of 20 meters. - 2. Determine the lateral area of the prism in

problem 1. - 3. Compute the surface area of the prism is

problem 1. - 4. Find the volume of a triangular prism given

that the triangular bases have sides of 8 inches,

10 inches, and 12 inches and that the prism has a

height of 5 inches. - 5. Compute the volume of a right circular

cylinder with a radius of 15 mm and a height of

25 mm.

PRACTICE PROBLEMS

- 6. Find the lateral area of the cylinder in

problem 5. - 7. Find the surface area of the cylinder in

problem 5. - 8. Find the diameter of a right circular

cylinder given that it has a volume of 150 cubic

feet and a height of 12.5 feet. - 9. A solid steel post 27.6 inches long has a

square base. The post has a volume of 110 cubic

inches. Compute the length of a side of the base. - 10. Find the lateral area of a box with a length

of 18 inches, width of 14 inches, and height of

12 inches.

PROBLEM ANSWER KEY

- 1. 3000 m3
- 2. 1000 m2
- 3. 1300 m2
- 4. 198.431 in3
- 5. 17671.46 mm3
- 6. 2356.19 mm2
- 7. 3769.91 mm2
- 8. 3.91 feet
- 9. 1.996 inches
- 10. 768 in2

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "PRISMS AND CYLINDERS: VOLUMES, SURFACE AREAS, AND WEIGHTS" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!