1 / 14

Learn to find the volume of prisms and cylinders .

8-5. Volume of Prisms and Cylinders. Course 3. Learn to find the volume of prisms and cylinders. 8-5. Volume of Prisms and Cylinders. Course 3.

lbahena
Download Presentation

Learn to find the volume of prisms and cylinders .

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 8-5 Volume of Prisms and Cylinders Course 3 Learn to find the volume of prisms and cylinders.

  2. 8-5 Volume of Prisms and Cylinders Course 3 A cylinder is a three-dimensional figure that has two congruent circular bases. A prism is a three-dimensional figure named for the shape of its bases. The two bases are congruent polygons. All of the other faces are parallelograms.

  3. 8-5 Volume of Prisms and Cylinders Course 3 Rectangular prism Cylinder Triangular prism Height Height Height Base Base Base

  4. 8-5 Volume of Prisms and Cylinders Course 3 VOLUME OF PRISMS AND CYLINDERS B = 2(5) = 10 units2 V = Bh V = 10(3) = 30 units3 B =  (22) V = Bh = 4 units2 = (r2)h V = (4)(6) = 24 75.4 units3

  5. 8-5 Volume of Prisms and Cylinders Remember! Area is measured in square units. Volume is measured in cubic units. Course 3

  6. 8-5 Volume of Prisms and Cylinders Course 3 Additional Example 1A: Finding the Volume of Prisms and Cylinders Find the volume of each figure to the nearest tenth. Use 3.14 for . a rectangular prism with base 2 cm by 5 cm and height 3 cm B = 2 • 5 = 10 cm2 Area of base Volume of a prism V = Bh = 10 • 3 = 30 cm3

  7. 8-5 Volume of Prisms and Cylinders Course 3 Additional Example 1B: Finding the Volume of Prisms and Cylinders Find the volume of the figure to the nearest tenth. Use 3.14 for . B =  (42) = 16in2 Area of base 4 in. Volume of a cylinder V = Bh 12 in. = 16• 12 = 192  602.9 in3

  8. 8-5 Volume of Prisms and Cylinders 1 2 B = • 6 • 5 = 15 ft2 Course 3 Additional Example 1C: Finding the Volume of Prisms and Cylinders Find the volume of the figure to the nearest tenth. Use 3.14 for . Area of base 5 ft V = Bh Volume of a prism = 15 • 7 = 105 ft3 7 ft 6 ft

  9. 8-6 Volume of Pyramids and Cones Course 3 Learn to find the volume of pyramids and cones.

  10. 8-6 Volume of Pyramids and Cones Course 3 Insert Lesson Title Here A pyramid is a three-dimensional figure whose base is a polygon, and all of the other faces are triangles. It is named for the shape of its base. A cone has a circular base. The height of a pyramid or cone is measured from the highest point to the base along a perpendicular line.

  11. 8-6 Volume of Pyramids and Cones VOLUME OF PYRAMIDS AND CONES (22) Course 3

  12. 8-6 Volume of Pyramids and Cones B = (4 • 7) = 14 cm2 1 3 1 2 1 3 V = Bh V = • 14 • 6 Course 3 Additional Example 1A: Finding the Volume of Pyramids and Cones Find the volume of the figure. Use 3.14 for p. V = 28 cm3

  13. 8-6 Volume of Pyramids and Cones 1 3 1 3 V = Bh V = • 9 • 10 Course 3 Additional Example 1B: Finding the Volume of Pyramids and Cones Find the volume of the figure. Use 3.14 for p. B = (32) = 9 in2 V = 30 94.2 in3 Use 3.14 for .

  14. Volume of Pyramids and Cones Course 2 Lesson Quiz Find the volume of each pyramid or cone to the nearest tenth. Use 3.14 for . Estimate to check whether the answer is reasonable. 1. 2. 80 ft3 301.4 yd3 3. 252 ft3

More Related