10-5: Volumes of Prisms and Cylinders

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10-5 Volumes of Prisms and Cylinders

• Objective To find the volume of a prism and a
  cylinder.

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Volume

• The space that a figure occupies.
• Measured in cubic units (in3 , ft3 , cm3)

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Theorem 10-6 Volume of a Prism

• The volume of a prism is the product of the area
  of a base and the height of the prism.
• FORMULA
• V BH
• B is area of base
• H is height of prism

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• Example 1 Find the volume of the rectangular
  prism.

V BH (bh)H (24)(20)(10) 4800 cm3
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Example 2 Find the volume of the triangular
prism.
V BH (1/2bh)H (1/2)(8)(4v3)10
160v3 in3
Height of base 4v3 in
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Theorem 10-7 Volume of a Cylinder

• The volume of a cylinder is the product of the
  area of the base and the height of the cylinder.
• V BH, or
• V (pr2)H

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• Example 1 Find the volume of the right
  cylinder.

V BH (pr2)H p(3)2(8) 72 p cm3
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• Example 2 Find the volume of the oblique
  cylinder.

V BH (pr2)H p(4)2(16) 256pm3
16m
D 8m
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Assignment Pg. 547 1-13 odd , 12,
17-19, 33, 34, 42-44 Show work for ALL.