1. Day 31 – Surface Area & Volume
Analytic geometry for college graduates

2. Volume of
Prisms &Cylinders

3. VOLUME = the number of cubic units contained in its interior
VOLUME has cubic units
Cm3, ft3, units3
VOLUME = the number of cubic units contained in its interior

4. Volume = length•width•height
In a CUBE they are all the same
The volume of a cube is side3
Volume = s3
4 ft
Volume = 43
Volume = 64 ft3

5. When a prism is NOT a cube…
B (area of the BASE)
The formula for B will depend on the shape of the base.

6. Volume Formula for Prisms & Cylinders
V = Bh

7. B = area of the BASE h = HEIGHT
Volume of a Prism
B = area of the BASE h = HEIGHT
4 in
3 in
2 in
V = 12 in3

8. V = 769.7 cm3 Volume of a Cylinder 7 cm 5 cm
Round to the nearest tenth.
7 cm
5 cm
V = cm3

9. WS 1 – 5

10. Volume of
Pyramids and
Cones

11. How many cones will it take to fill the cylinder?
They have the same size base.
They also have the same height.

12. Volume Formula for Cones & Pyramids

13. Find the volume.
8 ft
10 ft
12 ft

14. 3 cm What is the volume of this cone? Round to the nearest tenth.

15. WS 6 – 8

16. Surface Area
and Volume
of Spheres

17. 2 Types of Answers Exact Rounded Pi will be in your answer
Type the Pi button on your calculator
Toggle your answer
Do NOT write Pi in your answer
Exact
Pi will be in your answer

18. Radius of a Sphere r

19. If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES.
You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.

20. Volume of a Sphere

21. Volume of a Sphere
(round to the nearest hundredths)
2 cm

22. Volume of a Sphere
(round to the nearest hundredths)
10 cm

23. Volume of a Sphere
A sphere is inside a cube. The cube has a volume of 27 cm3.
Find volume of the sphere. Round to the nearest hundredths.

24. WS 9 – 16

25. Homework
Worksheet