1. Take out your notebook and a pencil
Take out your notebook and a pencil. Complete the following two problems in your notebook.
Calculate the area of the rectangle, triangle and square shown below. 8 10 5 7 6
Good morning
Thursday 3/9/17

2. Objective Date: 3/9/17 Title: Objective:
Volume of Cylinders and Prisms
Objective:
Calculate the volume of cylinders and prisms

3. Quiz on Tuesday (March 14th)
List of Formulas
Quiz on Tuesday (March 14th)
A = ½∙b∙h
Area of a triangle
A = b∙h
Area of a parallelogram
A = π∙r²
Area of a circle

4. Volume

5. Volume The volume of a solid is the amount of space it occupies.
Volume is measured in cubic units.
Ex: cubic feet or ft3
Why is it measured in cubic units?
The volume of a prism is the product of the area of the base (B) and the height.
V = areabase x height
Area: The size of a surface.

6. Volume of Rectangular Prisms
Formula: V = Bh V = lwh
Example:
V = Bh
V = lwh
V = (3)(4)(6)
V = (12)(6)
V = 72 in3
6 in
4 in
3 in

7. Volume of Rectangular Prisms
3 in
2 in
5 in
10 cm
V = Bh
V = lwh
V = (5)(2)(3)
V = (10)(3)
V = 30 in3
V = Bh
V = lwh
V = (10)(10)(10)
V = (100)(10)
V = 1000 cm3

8. Volume of Triangular Prisms

9. Volume of Triangular Prisms
Formula: V = Bh
V = (½bh)h
5 cm
2 cm
7 cm
Example:
V = Bh
V = (½bh)h
V = ½(2)(5)(7)
V = (5)(7)
V = 35 cm3

10. Volume of Triangular Prisms
12 in.
14 in.
15 in.
V = Bh
V = ½bhh
V = ½(14)(12)(15)
V = (7)(12)(15)
V = 1260 in3
V = Bh
V = ½bhh
V = ½(8)(6)(14)
V = (4)(6)(14)
V = 336 m3

11. Volume of Cylinders

12. Volume of Cylinders Formula: V = Bh V = πr2h Example: V = Bh V = πr2h
V ≈ m3

13. Volume of Cylinders V = Bh V = πr2h V = π(6)2(3) V = π(36)(3)
3 cm
6 cm
10 cm
8 cm
V = Bh
V = πr2h
V = π(6)2(3)
V = π(36)(3)
V ≈ cm3
V = Bh
V = πr2h
V = π(4)2(10)
V = π(16)(10)
V = 160π
V ≈ cm3