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  • 14-06-2017
  • Mathematics
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Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box (y) is 1 1/2 times the base length of the box (x). Find the approximate height and the length of the box.

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lilfathoff
lilfathoff lilfathoff
  • 16-06-2017
V = s²h 

150 = s²h 
150 = s²(3/2)s 
(2/3)150 = s³ 
100 = s³ 
s = ∛100 (approx 4.642 in) 
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