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Answer :
Answer:
$1,953
Step-by-step explanation:
So, we need to figure out how many times the big warehouse is actually bigger than the small one, in order to calculate the air conditioner cost for the large warehouse.
Let's say x represents the dimensions of the small warehouse, and y represents the dimensions of the large warehouse.
We have y = 2.5x, for every dimension (length, width, height)
The formula to calculate the volume of a cubic space is the following:
volume = length * width * height
Now, we don't know the exact measurements involved, but we know the large warehouse is 2.5 times bigger in every dimension, so...
volume = 2.5x * 2.5x * 2.5x = 2.5³x³ = 15.625 x³
So, the larger warehouse is 15.625 times larger than the small one. We then multiply that by the cost of cooling down the small warehouse:
cost for large warehouse = 15.625 * $125/month = $1,953.25
Rounded to the nearest dollar: $1,953
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