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Volume of Prisms and Cylinders

Volume of Prisms and Cylinders. VOLUME has cubic units Cm 3 , ft 3 , units 3. VOLUME = the number of cubic units contained in its interior. Volume = length•width•height. In a CUBE they are all the same. The volume of a cube is side 3. Volume = s 3. 4 ft. Volume = 4 3.

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Volume of Prisms and Cylinders

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  1. Volume of Prisms and Cylinders

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

  3. 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

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

  5. Volume Formula for Prisms & Cylinders V = Bh

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

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

  8. Volume of Pyramids and Cones

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

  10. Volume Formula for Cones & Pyramids

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

  12. What is the volume of this cone? Round to the nearest tenth. 3.6 cm 3 cm 2 cm

  13. Surface Area and Volume of Spheres

  14. 2 Types of Answers Rounded • Type the Pi button on your calculator • Toggle your answer • Do NOT write Pi in your answer Exact • Pi will be in your answer

  15. Radius of a Sphere r

  16. 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.

  17. Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere.

  18. Surface Area of a Sphere

  19. Surface Area of a Sphere (round to the nearest hundredths) 8 in

  20. Surface Area of a Sphere (round to the nearest hundredths) 10 cm

  21. The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.) 25 in

  22. A sphere is inscribed in a cube of volume 27 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.

  23. Volume of a Sphere

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

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

  26. 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.

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