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Understanding Volume of Prisms and Cylinders in Course 3

Learn to calculate the volume of prisms and cylinders using base and height measurements. Understand the differentiation between prism and cylinder shapes. Volume formulas and examples provided.

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Understanding Volume of Prisms and Cylinders in Course 3

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  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

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