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How many 1/3 inch cubes does it take to fill a box with width 2 213 inches, length 3 1/3

inches, and height 2 1/3 inches?

User Wei Xu
by
7.3k points

1 Answer

9 votes

Answer:

560 cubes

Explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

User Anders Andersen
by
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