Inquiry Lab: Volume of Rectangular Prisms Chapter 11 Pg. 735-738 You may work the problems in your book or on your own paper. InquiryHow 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 2Count 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 cubes long, 1 cube wide, and 1 cube tall. Count the number of cubes used to build the model. The model uses 2 cubes. So, the volume of the model is 2 ft3. Compare the product of the dimensions of the prism with its volume.
2x1x1=2 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 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.
2x2x1=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 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 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.
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