SOLUTION: ichael discovers that the front car of a vintage roler caoster is a rectangular solid whose height is two feet shorter then its width and whose lenght is twice the width. the car h

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Question 270845: ichael discovers that the front car of a vintage roler caoster is a rectangular solid whose height is two feet shorter then its width and whose lenght is twice the width. the car has a volume of 150 cubic feet.
a) write an expression for the car's volume
b) write an equation showing that the car's volume is equal to 150. Rewrite this equation so thatone side is equal to 0.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
When you read the problem you see that the dimensions are given in terms of the width. So let A = the width.
A(width) = X
B(height) = X-2
C(length) = 2X
A)The equation for the volume is A*B*C or X%2A%28X-2%29%2A%282X%29
B)X%2A%28X-2%29%2A%282X%29+=+150
C)%28X%2A%28X-2%29%2A%282X%29%29+-+150+=+0



graph%28400%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+x%2A%28x-2%29%2A%282%2Ax%29-150%29
X = 5,
So with the width being 5ft, plug 5 into the equations for the height and length