Volume of Rectangular Prisms with Fractional Units.notebook · Volume of Rectangular Prisms with...
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Volume of Rectangular Prisms with Fractional Units.notebook
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Pages 918-919Find the surface area of the prototypes.
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Page 982
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14.1 Nets
#
Examples: Notes:
2/1/18
RectangularPrism
6128
Square Pyramid
585
Hexagonal Pyramid
7127
TriangularPrism
596
Cube
6128
Notes
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#1 #2
a) What is the area of each base?
b) How many layers does each prism have?
#1
#2
#1
#2
10 x 4 = 40 in2
6 layers
8 x 5 = 40 in2
12 layers
c) How many cubes will each hold?
10 x 4 x 6 = 240 in3 = 240 cubes
8 x 5 x 12 = 480 in3 = 480 cubes
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V = Bh
V = 10 x 4 x 6 =
240 in2
V = Bh
V = 8 x 5 x 12 =
480 in2
#2#1
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• How many 1/2 inches are in 1 inch?
• How many cubes could fit across the length?
width? height?
• How many of the smaller cubes will fit into the
1 in x 1 in x 1 in cube's:
• Length? Width? Height?
• How many of the smaller cubes will fit into the
1 in x 1 in x 1 in cube?
220
8 12
2 2 2
2 x 2 x 2 = 8 smaller cubes will fit in 1 larger cube.
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How many of the 1 in x 1 in x 1 in will fit into the box?
How many of the ½ in x ½ in x ½ in will fit into the box?
How are the 2 related?
How is the volume of the box related to the number of
cubes that will fit in it?
What is the product of the number of cubes and the
volume of the cubes?
240
1,9201,920240 = 192
2481
=
81
Volume of the box is of the number of cubes that will fit in it.
1,920 x 81 = 240
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length? width? height?
Volume of 1 cube?
Total Volume?
6 4 15
¼ in x ¼ in ¼ in = 164
in3
164
360 cubes x in3 =
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Other method to determine volume?
1 ½ x 1 x 3 ¾V = l w h
=
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