geometry- finding volume

Question Description

mr. adam has different size cubes he would like to store. he wants all the same size cubes to fit in the same box. the cubes are quarter-inch, third-inch, and half-inch. he found a box with the dimensions of 4.5 in. x 5in. by 8.5in.

1. explain in words which size cube should mr.adam should choose for this box.

2. how many of these cubes can he fit in this box?

3. show two ways to find the volume of this box:

method 1 _________volume________in3

method 2  ________ volume________in3

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Final Answer

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1. mr. adam should choose quarter-inch cubes because 1/4 is divisible by 4.5, 5, and 8.5

2. 4.5/(1/4)=18, 5/(1/4)=20, 8.5/(1/4)=34, so he needs 765 cubes 

3. method 1: 72*(1/4)=765/4 in^3

    method 2: 4.5*5*8.5=191.25 in^3

Please let me know if you need any clarification. I'm always happy to answer your questions.

Fatin Menhaz (1755)
Rice University

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