SOLUTION: A box contains 150 candles. It has a width that is five times the height of the box and a length that is thrice the width of the box. The volume of each candle is 1 in^3. Find the

Question 978651: A box contains 150 candles. It has a width that is five times the height of the box and a length that is thrice the width of the box. The volume of each candle is 1 in^3. Find the height of the box.
Please, please help!! Thank you!!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
height=x
width=5x
length=15x
each candle has 1 in^3 volume, and there are 150 such candles.
box has volume of 75x^3 in^3.
Therefore, 75x^3=150 in^3
x^3=2
x=1.26 inches high HEIGHT/ANSWER
6.3 inches wide
18.9 inches long
That makes the volume 150.02 in^3.
Assumption is that the candles completely fill the box.

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