Download presentation

Presentation is loading. Please wait.

Published byJasper Knight Modified over 8 years ago

1
By: Shelbi Legg and Taylor Mastin

2
Find volumes of prisms. Find volumes of cylinders.

3
The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic units. (units³) You can create a rectangular prism from different views of the figure to investigate its volume.

4
If a prism has a volume of V cubic units, a height of h units, and each base has an area of B square units, then V=Bh. Area of Base=B h

5
a 8 cm 17 cm 13 cm Find the volume of the triangular prism.

6
a² + b² = c²Use Pythagoream Theorem. a² + 8² = 17²b=8, c=17 a² + 64 = 289Multiply. a² = 225Subtract 64 from both sides. a = 15Take the square root of both sides. V= BhNext, find the volume of the prism. V=½(8)(15)(13) Substitute the numbers in. V=780 cm³ Multiply.

7
Find the volume of the rectangular prism.

8
8(3)= 24Find the area of the base. V= 24(12) Then plug the area of the base into the formula. V= 288 in³ Multiply.

9
If a cylinder has a volume of V cubic units, a height of h units, and the bases have radii of r units, then V=Bh or V=πr²h. Area of base= πr² r

10
Find the volume of the cylinder. r= 4.6 m h=12.4

11
V= ¶r²hUse the volume formula for cylinders. V= ¶(4.6²)(12.4) r= 4.6 m, h= 12.4 m V≈824.3 m³ Multiply. R= 4.6 12.4

12
If two solids have the same height and the same cross- sectional area at every level, then they have the same volume.

13
If a cylinder has a base with an area of B square units and a height of h units, then its volume is Bh cubic units, whether it is right or oblique. h

14
Find the volume of the oblique cylinder. 4 yd 9 yd

15
V= ¶r²h Use the formula for a right cylinder. V=¶(4²)(9) r=4 yd, h=9 yd V= 452.4 yd³ 9 4

16
Pg. 692 #7-24

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