Transcript Inquiry Lab: Volume of Rectangular Prisms

Inquiry Lab:
Volume of Rectangular Prisms
Chapter 11
Pg. 735-738
You may work the problems in your book
or on your own paper.
Inquiry—How can you use models
to find volume?
Desmond is purchasing a storage
cabinet. The cabinet is 2 ft wide,
3 ft long, and 6 ft tall. What is the
volume of the cabinet?
Investigation 1
Volume is the amount of space inside of a
three-dimensional figure.
Volume is measured in cubic units.
We are going to be drawing cubes. Each
cube represents 1 ft3.
Draw a figure that is 2 cubes wide, 3
cubes long, and 6 cubes tall.
Steps
Step 1 was to build the model.
Step 2—Count the number of cubes used
to build the model. The model uses 36
cubes.
So, the volume of the cabinet is 36 ft3.
Find the Product
Find the product (multiply) of the
dimensions of the cabinet.
2x3x6=36
So, the product is the same as the
volume.
Collaborate
Use the next 5 minutes to complete the
problems in the collaborate section. List
the dimensions in the appropriate blanks.
***Remember: All of your totals must equal
36.
Collaborate Answers
6 x 2 x 3 = 36
12 x 3 x 1 = 36
2 x 2 x 9 = 36
36 x 1 x 1 = 36
3 x 4 x 3 = 36
18 x 2 x 1 = 36
1 x 4 x 9 = 36
1 x 6 x 6 = 36
Investigation 2
Look at the figure…
The model to the right is 2 ½ cubes long,
1 cube wide, and 1 cube tall.
Count the number of cubes used to build the
model. The model uses 2 ½ cubes. So, the
volume of the model is 2 ½ ft3.
Compare the product of the dimensions of the
prism with its volume.


2½x1x1=2½
They are the same .
Investigation 3
Because we are not going to have candy, we will skip
step 1.
Draw a model on the space to the right that is 2 ½ cubes
long, 2 cubes wide, and 1 cube tall.
Count the number of cubes used to build the model.
The model uses 4 whole cubes and 2 half cubes. Two
halves equals one whole. So, a total of 5 cubes were used.
The volume of the prism is 5 units3.

Compare the product of the dimensions of the prism with
its volume.


2½x2x1=5
They are the same .
Collaborate
Turn to page 717 in your book. Complete
numbers 1-6. You have 10 minutes.
Collaborate Answers
1.
2.
3.
4.
5.
6.
1 unit3
8 unit3
24 unit3
½ unit3
10 unit3
14 unit3
Analyze
Turn to page 738 in your book. Work on
7-10. You have 5 minutes.
Answers to 7-10
7. 7 ½ units3
8. 15 units3
9. 15 units3
10. 60 units3
Analyze Continued
We will complete 11-14 together out loud.
Write the answers in your book as your
classmates give their explanations.