1. Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide? A (Yes. For every block of width, he could build two blocks high.)
2. Tammy rents a storge shed. The storage shed is in the shape of a rectangular prism with measurements as shown. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by (FINDING THE PRODUCT OF 9, 10, AND 9). To completely fill the storage shed, Tammy would need (810) unit boxes that each measure 1 cubic foot.
3. Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Select all that apply. C (4 x 4 x 4) and D (2 x 11 x 2)
4. A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? Select all that apply. A (3 feet by 4 feet by 5 feet) and D (3 feet by 2 feet by 10 feet)
5. Angie packed same-size cubes into a rectangular prism. What is the number of cubes needed to fill this prism? D (42 cubes)
6. Which expression can be used to find the volume of the rectangular prism in cubic centimeters? D (85 x 245)
7. Max's caron has height of 6 inches with a base area 12 inches squared. Tucker's carton has height of 7 inches with a base area of 10 inches squared. How much more volume does Max's carton have than Tucker's? Explain how you know. (To find the volume of their carton, must multiply the base area and height together. Max carton's volume is 72. V=12 x 6 V=72 Tucker's carton is 70. V=10 x 7 V=70 Max's carton volume to two more than Tucker's carton. Max's carton - Tucker's carton= how much more 72 - 70 = 2)
8. Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 15 cm high and 8 cm wide. Whose aquarium holds the larger volume of water? Explain how you know. (To find volume, multiply length, width, and height together. V = l * w * h Terry's aquarium: V = 14 * 10 * 12 V = 140 * 12 V = 1,680 Bob's aquarium: V = 13 * 8 * 15 V = 104 * 15 V = 1,560 Terry's aquarium holds the larger volume of water because 1,680 is bigger then 1,560 (which is the volume of Bob's aquarium).
9. Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of
12 ft.^3. Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of
16 ft.^3. What are the widths of Kyle and Myla's boxes? Explain how you know. (To find the widths of Kyle and Myla's boxes, divide the volume by the length and height. Kyle: 12 / 2 = 6 6 / 3 = 2 2 is the width of Kyle's box. Myla: 16 / 2 = 8 8 / 4 = 2 2 is the width is Myla's box.)
10. Two fish tanks have measurements as shown.
Which tank has a greater volume? How much greater is its volume?
Use the drop-down menus to explain and show your answer. The volume of fish tank A is (200) cubic feet, and the volume of fish tank B is (160) cubic feet. So fish tank (A) has a greater volume. Its volume is greater by (40) cubic feet.
11. An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house. A [(1 x 3 x 4) + (2 x 5 x 3)] and C [(1 x 3 x 2) + (6 x 3 x 2)]
12. Lauren has a full box of sugar cubes. The box is a rectangular prism with measurements, in centimeters, as shown. The size of each sugar cube is 1 cubic centimeter. Select the numbers from the drop-down menus to complete each sentence. The volume of the box is measured in (CUBIC CENTIMETERS). The number of sugar cubes that will fit in the box is (24).
13.The figure shows the measurements, in inches, of a rectangular prism. What is the volume of the prism? D (672 CUBIC INCHES)
14.Denise is helping her dad build a clubhouse that is shaped like a rectangular prism. The height will be 8 ft. and the length will be 6 ft. If the volume of the clubhouse will be
288 ft.^3, what will be the width? C (6 ft.)
1 answer