Download presentation

Presentation is loading. Please wait.

Published byMelinda Barrett Modified over 7 years ago

1
Volumes of Prisms and Surface 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 the triangular prism.

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

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
FYI The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface. To find the area of the curved surface of a cylinder, multiply its height by the circumference of the base. Helpful Hint

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

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google