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Doubling The Volume
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- 2. Think about thisquestion... What does it mean to find the volume of a rectangular prism? Write your answer in your journal then turn to your partner and share your thoughts and ideas.
- 3. Answer these questionswith your partner. Write down your responses together or draw diagrams to explain. 1. How can we use multiplication to find the number of cubes in one layer of a rectangular prism? 1. How can we use multiplication to find the total number of cubes in a rectangular prism? 1. Explain why your method works.
- 4. Review Dimensions of arectangular prism show its length, width, and height. Look at this rectangular prism. The length is 6 cm. The width is 4 cm. The height is 5 cm. We would say this is a 6 cm by 4 cm by 5 cm rectangular prism or a 6 cm X 4 cm X 5 cm.
- 5. Describe the Dimensions Turnto your partner and describe the dimensions of this rectangular prism.
- 6. The Packaging Factory Thepackaging factory wants us to build a box that holds twice as many cubes as a 2 X 3 X 5. How can we find out the dimensions of a box that holds twice as many? Brainstorm ideas with your group. Watch a video on doubling the volume.
- 7. Notice in thevideo the teachers made the rectangular prism 8 times bigger and the Package Factory only wants the box to hold twice as many cubes as a 2 X 3 X 5 box. Now, look back at your previous ideas and make necessary changes. See how many boxes you can find that will hold twice as many cubes and list the dimensions.
- 8. New Dimensions Something tothink about: ● Some of the dimensions listed, only have one dimension that is doubled. ● Product of each set of dimensions is 60. ● Each dimensions is a factor of 60. ● Some of the numbers (2, 4, 5) show up in all the dimensions. 4 X 3 X 5 1 X 5 X 12 2 X 6 X 5 5 X 2 X 6 10 X 6 X 1 2 X 3 X 10 1 X 1 X 60 2 X 2 X 15 3 X 10 X 2 3 X 4 X 5