1. Agenda
Bell ringer
Introduction to volume Video
Cornell notes
Topic: volume of Shapes
E.Q. How can I calculate the volume of a given shape?
Bell Ringer

2. What Is Volume ?
The volume of a solid is the amount of space inside the solid.
Consider the cylinder below:
If we were to fill the cylinder with water the volume would be the amount of water the cylinder could hold:

3. VOLUME
The number of cubes that you just counted is called the VOLUME of your box.
So, what do you think VOLUME means?

4. *Always measured in units cubed (u3)
VOLUME
VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object!
*Always measured in units cubed (u3)

5. QUICK DEFINITION 3-Dimensional objects are NOT FLAT.
They have 3 measurements:
Length
Width
Height

6. 1 Name the figure. A Rectangular Prism B Triangular Pyramid C
Hexagonal Prism D
Rectangular Pyramid E
Cylinder F
Cone
Answer: D

7. 2 Name the figure A Rectangular Pyramid B Triangular Prism C
Octagonal Prism D
Circular Pyramid E
Cylinder F
Cone
Answer: E

8. 3 Name the figure A Rectangular Pyramid B Triangular Pyramid C
Triangular Prism D
Hexagonal Pyramid E
Cylinder F
Cone
Answer: B

9. 4 Name the figure A Rectangular Prism B Triangular Prism C
Square Prism D
Rectangular Pyramid E
Cylinder F
Cone
Answer: A

10. 5 Name the figure A Rectangular Prism B Triangular Pyramid C
Circular Prism D
Circular Pyramid E
Cylinder F
Cone
Answer: F

11. RECTANGULAR PRISM
Today we found the volume of a 3-D object called a RECTANGULAR PRISM, which is a solid figure that has six faces that are all rectangles. Opposite faces are congruent and parallel.

12. VOLUME OF A RECTANGULAR PRISM
So, what if we wanted to find the volume of this classroom?

13. Luckily, we have a formula for that!
Volume = length × width × height

14. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
NOTES!
FIND THE VOLUME OF THIS RECTANGULAR PRISM:
3 mm
2 mm
12 mm

15. FIND THE VOLUME OF THIS RECTANGULAR PRISM:

16. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
5 cm
5 cm
5 cm

17. NOTES!
A cereal box has a length of 8 inches, a width of 2 inches, and a height of 3inches? How much cereal will the box hold?

18. Alexia’s bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic feet of water can it hold?

19. YOUR TURN!
Guided Practice

20. FIND THE VOLUME OF THIS RECTANGULAR PRISM:

21. FIND THE VOLUME OF THIS RECTANGULAR PRISM:

22. Trailers that travel on the road behind trucks are rectangular prisms
Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?

23. An aquarium shaped like a rectangular prism has a length of 120 centimeters, a width of 60 centimeters, and a height of 100 centimeters. How much water is needed to fill the aquarium?

24. One last question:
A rectangular prism has a length of 2 inches, a height of 5 inches, and a width of 3 inches. What is the volume of this rectangular prism?

25. Reference
VbAWlNj4IOAnq7Li4DCczmpJb....
lockeschool.org/.../3D_Geometry%20Notes%20and %20Lesson%207th%20Grade.ppt..