Bell Work

Find the surface area of the pyramid below.

The area of the base is 111

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.

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.

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.

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?

Volume- the measure of space occupied by a shape (measured in

cubic units such as cm3 or in3)

Find the Volume of the Rectangular Prism

V = Bh V=(9.5*5)3V= 142.5m3

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.

Comparing Volumes

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

Find the Volume of the Triangular Prism

You Try: Find the Volume of the Triangular Prism

You Try: Find the Volume of the Triangular Prism

8-1E Volume of Pyramids

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?

Which container holds more?

https://www.youtube.com/watch?v=OUDjY6vJ8pw

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?

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?

Think-Pair-Share

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

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

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

Find the Volume of a Pyramid

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.

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.

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.

Check Your Understanding page 447 #1-5 Rally Coach

Start your homework!

• Workbook pages 119 and 123 ODD.

• Early finishers make up any missing work, or read a book!