The area of the base is 111 81AB Volume of Prisms LG 710 Students will be able to solve realworld and mathematical problems involving volume of 3D shapes composed of cubes and right prisms ID: 802149
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Slide1
Bell Work
Find the surface area of the pyramid below.
The area of the base is 111
Slide28-1A/B Volume of Prisms
LG 710: Students will be able to solve real-world and mathematical problems involving volume of 3D shapes composed of cubes and right prisms.
Slide3Think-Pair-Share
What is a prism?A
prism is a three-dimensional figure with at least three rectangular lateral faces and top and bottom faces parallel.
Slide4Vocabulary
Prism
- a three-dimensional figure with at least three rectangular lateral faces. The top and the bottom faces are parallel. The equation for finding the volume is always the area of the base times the height.
Slide5Meaning of Volume
How would you find the volume of each rectangular prism?
What is a general formula we can use to find the volume of any prism?
Slide6Volume-
the measure of space occupied by a shape (measured in cubic units such as cm3 or in3)
Slide7Find the Volume of the Rectangular Prism
V =
Bh
V=(9.5*5)3V= 142.5m3
Slide8Comparing Volumes
Watch your units! Be sure both are in the same terms otherwise you will have to convert it before you find the volume.
Slide9Comparing Volumes
Slide10Triangular Prisms
Volume =
Bh
(Remember Base = 1/2bh of the triangle)*Do not confuse the height of the triangular base with the height of the prism
Slide11Find the Volume of the Triangular Prism
Slide12You Try: Find the Volume of the Triangular Prism
Slide13You Try: Find the Volume of the Triangular Prism
Slide148-1E Volume of Pyramids
Slide15Which container holds more?
Compare the bases of the prism and the pyramid.
Compare the heights of the prism and pyramid.How many pyramids of water do you think it will take to fill the prism?
Slide16Which container holds more?
https://
www.youtube.com/watch?v=OUDjY6vJ8pw
Slide17Which container holds more?
Compare the bases of the prism and the pyramid.
Compare the heights of the prism and pyramid.How many pyramids of water did it take to fill the prism?What fraction of the volume of the prism is the volume of the pyramid?
Slide18Which container holds more?
Compare the bases of the prism and the pyramid.
Compare the heights of the prism and pyramid.How many pyramids of water did it take to fill the prism?What fraction of the volume of the prism is the volume of the pyramid?
Slide19Think-Pair-Share
What is a general formula we could use to find the volume of any pyramid?
Slide20Vocabulary
Pyramid
- a 3 dimensional shape with one base and triangular faces that meet at a vertex. The height is measured with a perpendicular line from the vertex to the base
Remember: B= Area of the base
Slide21How to find the volume of a pyramid
Find the area of the base
If a rectangle, use area=bhIf a triangle, use area = ½bh
Plug in B for the base, and use the formula
Slide22Find the Volume of a Pyramid
Slide23Check Your Progress
a) Find the volume of a pyramid that has a height of 9 centimeters and a rectangular base with a length of 7 centimeters and a width of 3 centimeters.
Slide24Find the Height of a Pyramid
A triangular pyramid has a volume of 44 cubic meters. It has an 8-meter base and a 3-meter height. Find the height of the pyramid.
Slide25Check Your Progress
b) A triangular pyramid has a volume of 840 cubic inches. It has a base of 20 inches and a height of 21 inches. Find the height of the pyramid.
Slide26Check Your Understanding page 447 #1-5 Rally Coach
Slide27Start your homework!
Workbook pages 119 and 123 ODD.Early finishers make up any missing work, or read a book!