Volumes of prisms and surface area
This presentation is the property of its rightful owner.
Sponsored Links
1 / 15

Volumes of Prisms and Surface Area PowerPoint PPT Presentation


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

Volumes of Prisms and Surface Area. #31. Vocabulary. Volume is the number of cubic units needed to fill a space. V = lwh Ex:Volume is expressed in cubic units, so the volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm 3. Example 1. Find the volume of the rectangular prism. Example 2.

Download Presentation

Volumes of Prisms and Surface Area

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 surface area

Volumes of Prisms andSurface Area

#31


Vocabulary

Vocabulary

Volume is the number of cubic units needed to fill a space. V = lwh

Ex:Volume is expressed in cubic units, so the volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm3.


Example 1

Example 1

Find the volume of the rectangular prism.


Example 2

Example 2

Find the volume of each rectangular prism.


Volumes of prisms and surface area

FYI

To find the volume of any prism, you can use the formula V= Bh, where B is the area of the base, and h is the prism’s height.


Example 3

Example 3

Find the volume of thetriangular prism.


Volumes of prisms and surface area

Caution!

The bases of a prism are always two congruent, parallel polygons.

FYI


Example 4

Example 4


Vocabulary1

Vocabulary

The surface area of a three-dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces of a three-dimensional figure, you can use a net. A net is the pattern made when the surface of a three-dimensional figure is layed out flat showing each face of the figure.


Example 11

Example 1

  • Find the surface area S of the prism.

  • Method 1: Use a net.


Example 21

Example 2

  • Find the surface area S of each prism.

  • Method 2: Use a three-dimensional drawing.


Volumes of prisms and surface area

FYI

The surface area of a pyramid equals the sum of the area of the base and the areas of the triangular faces. To find the surface area of a pyramid, think of its net.


Example 31

Example 3

Find the surface area S of the pyramid.


Volumes of prisms and surface area

Helpful Hint

To find the area of the curved surface of a cylinder, multiply its height by the circumference of the base.

FYI

  • The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface.


Example 41

Example 4

Find the surface area S of the cylinder. Use 3.14 for , and round to the nearest hundredth.


  • Login