1. Using snap cubes, build a rectangular prism with the following dimensions: a. Length 6 units b. Width 2 units c. Height 3 units
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1 Study Guide Fifth Grade Day 151 Standard(s): 5.MD.3, 5.MD.4, 5.MD.5 5.MD.3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. a. A cube with side length 1 unit, called a unit cube, is said to have one cubic unit of volume, and can be used to measure volume. b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. 1. Using snap cubes, build a rectangular prism with the following dimensions: a. Length 6 units b. Width 2 units c. Height 3 units What is the volume of the rectangular prism in cubic units? 2. Using snap cubes, build a rectangular prism with the following dimensions: a. Length 5 units b. Width 3 units c. Height 7 units What is the volume of the rectangular prism in cubic units? 3. Look at the rectangular prism below. Determine the volume in cubic units. You may use snap cubes to build the figure below to assist with finding the volume. What is the volume of the rectangular prism above written in cubic units? WCPSS, Page 1
2 Study Guide Fifth Grade Day 151 Standard(s): 5.MD.3, 5.MD.4, 5.MD.5 4. Look at the rectangular prism below. Determine the volume in cubic units. You may use snap cubes to build the figure below to assist with finding the volume. What is the volume of the rectangular prism above written in cubic units? 5. Look at the rectangular prism below. Determine the volume in cubic centimeters. You may use snap cubes to build the figure below to assist with finding the volume. 6 cm 4 cm 3 cm What is the volume of this rectangular prism? WCPSS, Page 2
3 6. Explain how you can find the volume of the prism using the diagrams below. Then show a different way to represent the volume of the rectangular prism below. 7. Use snap cubes to build a rectangular prism with a base of 8 and a height of four. What is the volume of this rectangular prism? Explain how you know. 8. The volume of a rectangular prism is 24 cubic units. Henry says the base has to be 6 units by 2 units and the height has to be 2 units. Kirby says the base has to be 4 units by 2 units and the height is 3 units. Who do you agree with and why? 9. Hydia is going to put her connecting blocks in a box. The base of the box is eight units across and four units deep. The box will fit five layers. How many cubic units will fit in the box? WCPSS, Page 3
4 10. Chardazha was making lemonade for a party. The box with the sugar cubes had the number of cubes worn off, so she couldn t read it. She knew each sugar cube was 1 cubic cm. When Chardazha measured the box, it was a height of 3 cm, a width of 5 cm, and a length of 4 cm. How many cubes were in the full box? 11. Kelly s neighborhood swimming pool is in the shape of a rectangular prism and has a volume of 1080 cubic feet. She knows it is 9 feet long and 10 feet wide. The depth of the entire pool is the same. Kelly knows that if the pool is greater than 10 feet deep, she can dive in. Is Kelly s neighborhood pool deep enough for her to dive in? Defend your answer. 12. What could be the dimensions of a rectangular prism that has a volume of 48 cm 3? Explain how you know your dimensions will work. Include an illustration. 13. What is the volume of the rectangular prism below written in cubic centimeters? 4 cm 8 cm 12 cm 10 cm WCPSS, Page 4 3 cm
5 14. What is the volume of the rectangular prism below? 15. The janitor is stacking boxes in the supply closet. Below is a table of the box dimensions. Complete the table below. Box Type Dimensions Volume Paper box 12 in x 4 in x 5 in Marker box 2 in x 7 in x 3 in Notebook box 11 in x 5 in x 6 in a. If he stacked a notebook box on top of a paper box, what would be the total volume? b. If he stacked 3 marker boxes on top of each other, what would be the total volume? c. He has a space that has a total volume of 480 in 3. What two boxes would completely fill the space? d. What other combinations of boxes could be used to fill the space with a minimum volume of 372in 3 and a maximum volume of 480 in 3? WCPSS, Page 5
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