1. Volume of prisms and cylinders
Today’s Lesson:
What:
Volume of prisms and cylinders
Why:
. . . so I can calculate the volume of both rectangular prisms and cylinders.

2. Why is volume measured in cubic units?

3. What are some real-life applications of volume?

4. Prior knowledge/ Vocabulary:
Rectangular Prism-- a 3-D figure that is comprised of six ____________ faces (a “box”).
Cube– a special type of rectangular ____________ where each face is a ___________________.
Cylinder– a 3-D figure with circular ____________ for both the top and the bottom.
Radius-- refers to the line segment that ___________________ in the center and extends to the circumference line (edge).
Diameter– refers to the line segment that extends the entire way _______________ a circle. The diameter splits the circle into two _____________ halves.
Volume— the measure of ___________ occupied by a solid region, measured in __________ units.
rectangular
prism
square
faces
begins
across
equal
space
cubic

5. Pouring sand into a sandbox.
Where is volume in real life ? (brainstorm)
Filling a cup or bowl.
Pouring sand into a sandbox.
The amount of water an aquarium holds.
How much cake batter a cake pan will hold.
Key Words:
Fill
Hold
Pour
Etc., etc

6. Volume of a PRISM:
V = lwh
12 cm
5 cm
4 cm
240 cm³

7. Volume of a PRISM: 2)
V = lwh
2 cm
3.5 cm
14 cm
98 cm³

8. Volume of a cube: 3)
V = lwh
7 cm
343 cm³

9. 56 ft³ Word problem example:
MaryBeth is filling a sandbox with sand. If the sandbox is seven feet in length, two feet in height, and four feet in width, how much sand can the sandbox hold?
56 ft³

10. Volume of CYLINDERS: 1)
V = 𝛑 r²h
10 cm
6 cm
282.6 cm³

11. V = 𝛑 r²h
Volume of CYLINDERS: 2)
4.5 cm
2.5 cm
≈ 88.3 cm³

12. V = 𝛑 r²h
Volume of CYLINDERS: 3)
15 cm
4 cm
188.4 cm³

13. 87.92 in³ Word problem example:
Joe is pouring coffee into his coffee mug. The mug is 7 in. tall, and its bottom has a diameter of 4 in. How much coffee does Joe’s mug hold?
87.92 in³

14. Why is volume measured in cubic units?
Wrap-it-up/summary:
Why is volume measured in cubic units?
2) What are some real-life applications of volume?
Volume applies only to 3-D figures, so all 3 dimensions are needed to figure out how much space a 3-D figure occupies. A cube is 3-D, so it works!
Answers may vary.

15. Finish homework worksheet (handed out in class).

16. END OF LESSON