1. Solids – Volume and Area We will be using primarily 4 solid objects in this lesson. Right Circular Cylinder Right Circular Cone r h r h s

2. Solids – Volume and Area We will be using primarily 4 solid objects in this lesson. Rectangular Prism Regular Square Pyramid h h b l w s

3. Solids – Volume and Area Right Circular Cylinder 4 in 10 in Example : Find the volume and surface area of the given right circular cylinder.

4. Solids – Volume and Area Right Circular Cylinder 4 in 10 in Example : Find the volume and surface area of the given right circular cylinder.

5. Solids – Volume and Area Right Circular Cylinder 4 in 10 in Example : Find the volume and surface area of the given right circular cylinder.

6. Solids – Volume and Area Right Circular Cone 6 cm 8 cm 10 cm Example # 2 : Find the volume and surface area of the given right circular cone.

7. Solids – Volume and Area Right Circular Cone 6 cm 8 cm 10 cm Example # 2 : Find the volume and surface area of the given right circular cone.

8. Solids – Volume and Area Right Circular Cone 6 cm 8 cm 10 cm Example # 2 : Find the volume and surface area of the given right circular cone.

9. Solids – Volume and Area Rectangular Prism 6 ft 19 ft 7 ft Example # 3 : Find the volume and surface area of the given rectangular prism.

10. Solids – Volume and Area Rectangular Prism 6 ft 19 ft 7 ft Example # 3 : Find the volume and surface area of the given rectangular prism.

11. Solids – Volume and Area Rectangular Prism 6 ft 19 ft 7 ft Example # 3 : Find the volume and surface area of the given rectangular prism.

12. Solids – Volume and Area Regular Square Pyramid 9 m 18 m 12.7 m Example # 4 : Find the volume and surface area of the given regular square pyramid.

13. Solids – Volume and Area Regular Square Pyramid 9 m 18 m 12.7 m Example # 4 : Find the volume and surface area of the given regular square pyramid.

14. Solids – Volume and Area Regular Square Pyramid 9 m 18 m 12.7 m Example # 4 : Find the volume and surface area of the given regular square pyramid.

15. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid.

16. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid.

17. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem :

18. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

19. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

20. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

21. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

22. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

23. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid. In this example, we are missing the base measurement of the pyramid. To find the measurement of the base, we can use Pythagorean theorem : 10 m 18 m The base will be two times larger than the missing leg … x

24. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid.

25. Solids – Volume and Area Regular Square Pyramid 10 m 18 m Example # 5 : Find the volume and surface area of the given regular square pyramid.