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Bell Work Find the surface area of the pyramid below.

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8-1A/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.

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Think-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.

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Vocabulary 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.

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Meaning 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?

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Volume- the measure of space occupied by a shape (measured in cubic units such as cm 3 or in 3 )

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Find the Volume of the Rectangular Prism V = Bh V=(9.5*5)3 V= 142.5m 3 V = Bh V=(9.5*5)3 V= 142.5m 3

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Comparing Volumes Watch your units! Be sure both are in the same terms otherwise you will have to convert it before you find the volume.

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Comparing Volumes

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Triangular 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 Volume = Bh (Remember Base = 1/2bh of the triangle) *Do not confuse the height of the triangular base with the height of the prism

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Find the Volume of the Triangular Prism

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You Try: Find the Volume of the Triangular Prism

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8-1E Volume of Pyramids

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Which container holds more? 1)Compare the bases of the prism and the pyramid. 2)Compare the heights of the prism and pyramid. 3)How many pyramids of water do you think it will take to fill the prism?

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Which container holds more? https://www.youtube.com/watch?v=OUDjY6vJ 8pw

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Which container holds more? 1)Compare the bases of the prism and the pyramid. 2)Compare the heights of the prism and pyramid. 3)How many pyramids of water did it take to fill the prism? 4)What fraction of the volume of the prism is the volume of the pyramid?

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Which container holds more? 1)Compare the bases of the prism and the pyramid. 2)Compare the heights of the prism and pyramid. 3)How many pyramids of water did it take to fill the prism? 4)What fraction of the volume of the prism is the volume of the pyramid?

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Think-Pair-Share What is a general formula we could use to find the volume of any pyramid?

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Vocabulary 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

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How to find the volume of a pyramid 1)Find the area of the base If a rectangle, use area=bh If a triangle, use area = ½bh 2)Plug in B for the base, and use the formula

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Find the Volume of a Pyramid

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Check 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.

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Find 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.

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Check 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.

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Check Your Understanding page 447 #1-5 Rally Coach

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Start your homework! Workbook pages 119 and 123 ODD. Early finishers make up any missing work, or read a book!

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