1. Secondary math 2
Volume

2. Warm up: calculate the surface-area

3. Warm-up: part 2 – calculate the surface area

4. What you will learn
I will be able to calculate the volume for any object.

5. 𝑽𝒐𝒍𝒖𝒎𝒆=𝑩𝑨𝑺𝑬∗𝒉𝒆𝒊𝒈𝒉𝒕

6. What does “volume” mean?
1 inch
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

7. What is the “volume” of the shape?
“how many 1 inch cubes will fit in the shape.”
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

8. What does “volume” mean?
2 inches
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

9. What is the volume of the prism?
4 inches
3 inches
2 inches
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

10. 𝑽𝒐𝒍𝒖𝒎𝒆=𝑩𝑨𝑺𝑬∗𝒉𝒆𝒊𝒈𝒉𝒕

11. What is the volume of the prism?
10 inches
3 inches
4 inches
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

12. The volume of a sphere is…?
𝒗𝒐𝒍𝒖𝒎𝒆 𝒔𝒑𝒉𝒆𝒓𝒆 = 𝟒 𝟑 𝝅 𝒓 𝟑
6 inches
What part of the formula gives us the “cubic” units?

13. The volume of a sphere is…?
𝒗𝒐𝒍𝒖𝒎𝒆 𝒔𝒑𝒉𝒆𝒓𝒆 = 𝟒 𝟑 𝝅 𝒓 𝟑
5.2 inches

14. The volume of a cylinder is…?
Base
The volume of a cylinder is…?
𝑣𝑜𝑙𝑢𝑚𝑒 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 =𝜋 𝑟 2 ℎ
8 inches
10 inches
𝑉𝑜𝑙𝑢𝑚𝑒=𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡

15. Cones and Pyramids (1/3) 𝑉𝑜𝑙𝑢𝑚𝑒= 1 3 𝐵𝐴𝑆𝐸∗ℎ𝑒𝑖𝑔ℎ𝑡 6 inches 5 in 4 in

16. What is the volume of a cylindrical tank with a hemispherical top?
32 feet
28 feet
Should I add to get total volume or multiply to get total volume?

17. What is the volume of the obelisk?
12 feet
2 ft
3 feet

18. Homework questions