# units layers ```Name ____________________________________
Period _______
Jane needs to calculate the volume of a rectangular prism for the water feature for Backyard Makeover. Jane uses the
following notes to help her.
Stage 1
Stage 2
Attributes of a rectangular prism:
o ______________________________________
o ______________________________________
o ______________________________________
o ______________________________________
Stage 3
The volume of a rectangular prism is the measure of the
amount of space inside the prism. Volume is measured
using cubic units.
in3
cubic inches
ft3
cubic feet
yd3
cubic yards
Stage 4
A rectangular prism is similar to layers of ______________
To determine how many cubic units will cover the
____________________________. Each “layer” is covered
rectangular region above, we can count each individual
with ___________________. To determine the number of
cubic unit or we can use the formula: ______________ to
cubic units occupying the space in a rectangular prism, we
calculate the number of cubic units to cover the area of the
can count all the cubic units ____________________, or we
rectangle. Calculate the number of square units that will
can calculate the number of cubic units that cover ________
cover the area of the rectangle above:
rectangular layer and ________________ that by the
number of rectangular layers which represents the
Area = ___________________
________________________________________________.
Stage 5
If each rectangular layer has ______ square units and the
Stage 6
Formula for Volume of a Rectangular Prism:
prism is _____ units high, then the number of cubic units that
will fill the rectangular prism is:
# of cubic units per layer ∙ # of layers
________ ∙ ________ = ________
V = _______________
1) Jane creates a table and graph to represent the relationship between the area of the base of a rectangular prism
and the volume of a rectangular prism, with a constant height of 4 units.
Area
(units2)
Process
(Height = 4 units)
Volume
(units3)
0.25
0.5
0.75
1
1.25
1.5
1.75
2
x
2) Select the correct steps Jane will use to calculate the real-life volume of the water feature for the Backyard
Makeover.
a. First, convert all dimensions from inches to feet, using the scale 0.5 in = 2 ft. Then, multiply all 3
dimensions together and divide by 2.
b. First, convert all dimensions from inches to feet, using the scale 2 in = 0.5 ft. Then, multiply all 3
dimensions together.
c. First, multiply all 3 dimensions together. Then, convert that product from inches to feet, using the scale
0.5 in = 2 ft.
d. First, convert all dimensions from inches to feet, using the scale 0.5 in = 2 ft. Then, multiply all 3
dimensions together.
3) Now, use your answer from question 2 to calculate the real-life volume of the water feature for the Backyard
Makeover.
Real-life Volume of Water Feature ______________________
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