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find volume using formulas & composed figures MA.5.MD.5

Solve problems involving volume and dimensions of rectangular prisms using formulas and composed figures. Relate volume to multiplication and addition operations.

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find volume using formulas & composed figures MA.5.MD.5

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  1. find volume using formulas & composed figures MA.5.MD.5

  2. UNWRAPPED BENCHMARK MA.5.MD.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

  3. 1 Dora received a box that has the shape of a rectangular prism filled with 1-inch cubes. A layer of 4 rows with 9 cubes in each row filled the bottom of the box. The volume of the box is 144 cubic inches. How many layers of cubes were in the box? Finding Missing Dimensions

  4. 2 Tim packed 1-inch cubes into a rectangular prism. A layer of 6 rows with 5 cubes in each row filled the bottom of the rectangular prism. The volume of the rectangular prism is 180 cubic inches. How many layers of cubes can Tim fit in the rectangular prism? Finding Missing Dimensions

  5. 3 Michel is filling a box that has the shape of a rectangular prism with 1-inch cubes. A layer of 9 rows with 7 cubes in each row filled the bottom of the box. The volume of the box is 315 cubic inches. How many layers of cubes Michel can fit in the box? Finding Missing Dimensions

  6. Calculating Remaining Volume 1 Sammy bought a puzzle that came in a box that has a width of 6 inches, a length of 9 inches, and a height of 8 inches. He placed it in a packing box that has a volume of 562 cubic inches so he could mail it with some other things. Calculate how many cubic inches of space were left in the box.

  7. Calculating Remaining Volume 2 Lopez made a gift box that has a width of 4 inches, a length of 5 inches, and a height of 7 inches. He put it in a box that has a volume of 357 cubic inches so he could carry it along with some other things. Calculate how many cubic inches of space was left in the box.

  8. Calculating Remaining Volume 3 Martin has a geometry box that has a width of 3 inches, a length of 7 inches, and a height of 4 inches. He put it in a box that has a volume of 135 cubic inches so he could arrange it with some other things. Calculate how many cubic inches of space was left in the box.

  9. Target practice Strategy # 1: Cubes Strategy CIRCLE the numbers UNDERLINE the key words BOX the question ELIMINATE the extra information and SOLVE the problem Strategy # 2: T-1-2-3-4 Strategy Strategy # 3: Draw a picture or an array Use dots, squares, circles, lines, boxes, or number lines. Strategy # 4: Create a Table

  10. 1 Jordan built steps leading to his house. What is the volume of the steps? 9 ft 12 ft 2 ft 3 ft 8 ft 540 cu ft 780 cu ft A C 1296 cu ft 423 cu ft B D

  11. 2 What is the volume of the shape below? 4 in. 4 in. 12 in. 2 in. 6 in. 9 in. 500 cu in. 400 cu in. A C 108 cu in. 300 cu in. B D

  12. 3 What is the volume of the steps? 8 ft 10 ft 2 ft 12 ft 15 ft 733 cu ft 526 cu ft A C 640 cu ft 499 cu ft B D

  13. 1 Jessy filled a box with smaller boxes shaped like cubes. What is the volume of the box Jessy filled? 4 in. 6 in. 10 in. 143 cu in. 128 cu in. A C 240 cu in. 320 cu in. B D

  14. 2 Darwin keeps his marbles in a box that is 15 inches long, 7 inches wide, and 4 inches high. What is the volume of this box? 640 cu in. 420 cu in. A C 520cu in. 320 cu in. B D

  15. 3 Suzanne bought a toy for her son that came in this box: What is the volume of this box? 5 in. 5 in. 12 in. 300 cu in. 560 cu in. A C 180 cu in. 420 cu in. B D

  16. 1 Sonia is designing a cabinet to store products in the shop. The length and width of one design can not be the same as the length or width of another design. She wants the cabinet to be 5 feet high with a volume of 75 cubic feet. How many different designs, all with whole number dimensions, can she make? 5 7 A C 2 4 B D

  17. 2 Silvia is designing a dog house for her dogs. The length and width of one design can not be the same as the length or width of another design. She wants the dog house to be 4 feet high with a volume of 48 cubic feet. How many different designs, all with whole number dimensions, can she make? 6 12 A C 2 3 B D

  18. 3 Raven wants to design a rectangular storage room for the farm. The length and width of one design can not be the same as the length or width of another design. He wants the room to be 7 feet high with a volume of 63 cubic feet. How many different designs, all with whole number dimensions, can he make? 1 3 A C 4 2 B D

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