Change the order of integration.
Substitute 
and 
.
6 - 3 = 3
-2 - (-9) = 7
(3 , 7)
9514 1404 393
Answer:
- 84 small cubes
- 3 1/9 unit cubes
Step-by-step explanation:
A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...
1 1/3 ft = 4 small cubes
1 ft = 3 small cubes
2 1/3 ft = 7 small cubes
Then the volume in terms of small cubes is ...
V = LWH = (4)(3)(7) = 84 small cubes
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There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...
84/27 = 3 1/9 . . . unit cubes
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<em>Additional comment</em>
The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.
