SOLUTION: how do u do this math question- A storage bin is a rectangular prism. its volume is 300cm3. The width of the prism is one-third its length. Its height is two thirds its length. Det

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Question 888189: how do u do this math question- A storage bin is a rectangular prism. its volume is 300cm3. The width of the prism is one-third its length. Its height is two thirds its length. Determine the dimension of the bin
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x for length
y for width
z for height

y=x%2F3 and z=2x%2F3
volume is xyz=x%28x%2F3%29%282%2F3%29x=%282%2F9%29x%5E3

Given volume makes the volume equation highlight_green%28%282%2F9%29x%5E3=300%29;
You can find the value for x; and then compute the other dimensions using x.