Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
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Warm Up Find the area of each figure. Use 3.14
for ?.
1. rectangle with base length 8 in. and height 12
in.
96 in2
2. circle with diameter 8 ft
50.24 ft2
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Volume of Prisms
Problem of the Day A rectangular park is
bordered by a 3-foot-wide sidewalk. The park,
including the sidewalk, measures 125 ft by 180
ft. What is the area of the park, not including
the sidewalk?
20,706 ft2
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Sunshine State Standards
MA.6.G.4.3 Determine the missing dimension of a
prismgiven its volumeor the volume given the
dimensions. Also MA.6.A.3.4
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Vocabulary
volume
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Volume is the number of cubic units needed to
fill a space.
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You need 10, or 5 2, centimeter cubes to cover
the bottom layer of this rectangular prism.
You need 3 layers of 10 cubes each to fill the
prism. It takes 30, or 5 2 3, cubes.
Volume is expressed in cubic units, so the volume
of the prism is 5 cm 2 cm 3 cm 30 cm3.
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Additional Example 1 Finding the Volume of a
Rectangular Prism Find the volume of the
rectangular prism.
V lwh
Write the formula.
V 26 11 13
l 26 w 11 h 13
Multiply.
V 3,718 in3
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Check It Out Example 1A Find the volume of each
rectangular prism.
V lwh 2 3 8 48 ft
3
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Check It Out Example 1B Find the volume of each
rectangular prism.
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Check It Out Example 1C Find the volume of each
rectangular prism.
V lwh 8.4 5.1 6 257.04 in
3
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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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Additional Example 2 Finding the Volume of a
Triangular Prism Find the volume of
thetriangular prism.
Multiply.
V 10.14 m3
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Check It Out Example 2A
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Check It Out Example 2B
V Bh ( )(2)1
3
m

1
m
2
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Check It Out Example 2C
V Bh (3)(5.4)8.6
3
cm
69.66
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Additional Example 3 Problem Solving
Application Suppose a facial tissue company ships
16 cubic tissue boxes in each case. What are the
possible dimensions for a case of tissue boxes?

• The answer will be all possible dimensions for a
  case of 16 cubic boxes.
• List the important information
• There are 16 tissue boxes in a case.
• The boxes are cubic, or square prisms.

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Additional Example 3 Continued
You can make models using cubes to find the
possible dimensions for a case of 16 tissue boxes.
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Additional Example 3 Continued
You can make models using cubes to find the
possible dimensions for a case of 16 cubes.
The possible dimensions for a case of 16 cubic
tissue boxes are the following 16 x 1 x 1, 8 x
2 x 1, 4 x 4 x 1, and 4 x 2 x 2.
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Additional Example 3 Continued
Look Back
Notice that each dimension is a factor of 16.
Also, the product of the dimensions (length
width height) is 16, showing that the volume of
each case is 16 cubes.
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Check It Out Example 3 A toy box is a
rectangular prism that is 3 ft long, 2 feet wide,
and 2 feet tall. Another toy box has the same
dimensions, except that it is longer. If the
longer toy box has a volume that is 50 greater
than the original toy box, what is the length of
the longer toy box?