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anonymous
 one year ago
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 112 times the base length of the box (x). Find the approximate height and the length of the box.
anonymous
 one year ago
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 112 times the base length of the box (x). Find the approximate height and the length of the box.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436190466675:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The equation you want to solve is \[1.5x^3=150\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that isnt any of the answer choices? im confused, the answer options are x = 4 and y = 6 x = 5 and y = 7.5 x = 4.2 and y = 6.3 x = 4.6 and y = 6.9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i also meant that it isnt 112, it is one and one half

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the volume of a box is all the sides multiplied together. the box has a square base, so two sides are x. It is given in the problem that the height is 1½ * x, that's where 1.5x came from. Multiply the 3 sides lengths together to get the volume is 1.5x³. The volume is also given as 150 in the problem. Therefore, the volume equation is \[1.5x^3=150\] We have to solve this equation for x to get the answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We start by moving 1.5 to the other side? How do we do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oooohhh ok ok so i understand how you got the volume, that makes much more sense. and divide it??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i got 100, then what

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now you have to get rid of the exponent. Since the exponent is 3, take the cube root of both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x = 4.6 then just multiply by 1.5 to get y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh so the answer is 6.9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0? so the answer is D?
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