1 / 15

Volumes of Prisms and Surface Area

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.

kioko
Télécharger la présentation

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Volumes of Prisms andSurface Area #31

  2. 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.

  3. Example 1 Find the volume of the rectangular prism.

  4. Example 2 Find the volume of each rectangular prism.

  5. 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.

  6. Example 3 Find the volume of thetriangular prism.

  7. Caution! The bases of a prism are always two congruent, parallel polygons. FYI

  8. Example 4

  9. 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.

  10. Example 1 • Find the surface area S of the prism. • Method 1: Use a net.

  11. Example 2 • Find the surface area S of each prism. • Method 2: Use a three-dimensional drawing.

  12. 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.

  13. Example 3 Find the surface area S of the pyramid.

  14. 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.

  15. Example 4 Find the surface area S of the cylinder. Use 3.14 for , and round to the nearest hundredth.

More Related