Answer:
Box 1 has the greater volume, by 200 in³
Step-by-step explanation:
The largest of two volumes can be found by computing each volume and comparing the results.
<h3>Box 1</h3>
The volume is computed from dimensions by ...
V = LWH
V = (18 in)(8 in)(15 in) = 2160 in³
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<h3>Box 2</h3>
The volume is computed from area and height by ...
V = Bh . . . . . where B is the base area, and h is the height
V = (196 in²)(10 in) = 1960 in³
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<h3>Comparison</h3>
The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.
Box 1 has a greater volume
The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:
2160 in³ -1960 in³ = 200 in³
Box 1 is larger by 200 in³
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<em>Additional comment</em>
The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:
200/1960 × 100% ≈ 10.2%
Box 1 is about 10% larger than Box 2.
