Instructions one smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; height of 3 and one-quarters feet. Part 1: Understanding Volume What is volume, and how is it measured? Look at the images above. How are the fish food box and the shipping box similar? How are they different? Part 2: Pack It Up! Just by looking at the images, what would be your guess of how many fish food boxes can fit into the shipping box? How did you determine that? There is no right or wrong answer. Determine how many actual fish food boxes fit in the shipping box. Show your work. Part 3: The Space Inside! Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how both methods provide the same measurement of volume for the shipping box.
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Answered by
18
Answer:
2340
Step-by-step explanation:
one smaller cube labeled with fish food with dimensions of one-quarters feet on each side
Volume of fish food box = (1/4) * (1/4) * (1/4) = 1/64 ft³
Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; height of 3 and one-quarters feet.
3 3/4 = 15/4 , 3 1/4 = 13/4
Volume of Shipping box = (15/4)(3)(13/4) = 585/16 ft³ = 2340/64 ft³
Number of fish food boxes that can fit into the shipping box = (2340/64)/(1/64)
= 2340
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7
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