Volumes of Prisms and Surface Area

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Volumes of Prisms andSurface Area

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Vocabulary

• Volume is the number of cubic units needed to
  fill a space. V lwh
• ExVolume is expressed in cubic units, so the
  volume of the prism is 5 cm 2 cm 3 cm 30
  cm3.

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Example 1

• Find the volume of the rectangular prism.

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Example 2

• Find the volume of each rectangular prism.

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FYI

• To find the volume of any prism, you can use the
  formula V Bh, where B is the area of the base,
  and h is the prisms height.

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Example 3

• Find the volume of thetriangular prism.

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FYI
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Example 4
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Vocabulary

• The surface area of a three-dimensional figure is
  the sum of the areas of its surfaces. To help you
  see all the surfaces of a three-dimensional
  figure, you can use a net. A net is the pattern
  made when the surface of a three-dimensional
  figure is layed out flat showing each face of the
  figure.

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Example 1

• Find the surface area S of the prism.
• Method 1 Use a net.

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Example 2

• Find the surface area S of each prism.
• Method 2 Use a three-dimensional drawing.

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FYI

• The surface area of a pyramid equals the sum of
  the area of the base and the areas of the
  triangular faces. To find the surface area of a
  pyramid, think of its net.

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Example 3

• Find the surface area S of the pyramid.

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FYI

• The surface area of a cylinder equals the sum of
  the area of its bases and the area of its curved
  surface.

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Example 4

• Find the surface area S of the cylinder. Use 3.14
  for ?, and round to the nearest hundredth.