Volumes of prisms and cylinders
This presentation is the property of its rightful owner.
Sponsored Links
1 / 6

Volumes of Prisms and Cylinders PowerPoint PPT Presentation


  • 61 Views
  • Uploaded on
  • Presentation posted in: General

The area of the base B = w = 3  5 = 15. Volumes of Prisms and Cylinders. Lesson 11-4. Additional Examples. Find the volume of the prism below. V = B h Use the formula for volume. = 15 • 5 Substitute 15 for B and 5 for h. = 75 Simplify.

Download Presentation

Volumes of Prisms and Cylinders

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Volumes of prisms and cylinders

The area of the base B=w= 3  5 = 15.

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

Find the volume of the prism below.

V= BhUse the formula for volume.

= 15 • 5Substitute 15 for B and 5 for h.

= 75Simplify.

The volume of the rectangular prism is 75 in.3.


Volumes of prisms and cylinders1

Use the Pythagorean Theorem to calculate the length of the other leg.

292 – 202 = 841  400 = 441  21

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

Find the volume of the prism below.

The prism is a right triangular prism with triangular bases.

The base of the triangular prism is a right triangle where one leg is the base and the other leg is the altitude.


Volumes of prisms and cylinders2

1

2

1

2

The area B of the base is bh= (20)(21) = 210. Use the area of the base to find the volume of the prism.

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

(continued)

V= BhUse the formula for the volume of a prism.

= 210 •40Substitute.

= 8400Simplify.

The volume of the triangular prism is 8400 m3.


Volumes of prisms and cylinders3

The formula for the volume of a cylinder is V= r 2h. The diagram shows h and d, but you must find r.

1

2

r= d = 8

V= r 2hUse the formula for the volume of a cylinder.

= • 82•9Substitute.

= 576Simplify.

The volume of the cylinder is 576 ft3.

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

Find the volume of the cylinder below. Leave your answer in terms of .


Volumes of prisms and cylinders4

You can use three rectangular prisms to find the volume.

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

Find the volume of the composite space figure.

Each prism’s volume can be found using the formula V = Bh.


Volumes of prisms and cylinders5

Volumes of Prisms and Cylinders

Lesson 11-4

Additional Examples

(continued)

Volume of prism I = Bh = (14 • 4) • 25 = 1400

Volume of prism II = Bh = (6 • 4) • 25 = 600

Volume of prism III = Bh = (6 • 4) • 25 = 600

Sum of the volumes = 1400 + 600 + 600 = 2600

The volume of the composite space figure is 2600 cm3.


  • Login