Problema Solution
the volume of rectangular bar is 640 cubic units. The width is 3 units more than the height and the lenght is 1 unit more than three times the height. Find the dimensions of the bar
Answer provided by our tutors
Let 'x' represent the measure in units of the height then the width is '3 + x' and the length is '1 + 3x'.
The volume of the bar is V = 640 cubic units and we also know that:
V = width*length*height
V = (3 + x)*(1 + 3x)*x
Now we have the following cubic equation:
(3 + x)*(1 + 3x)*x = 640
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click here to see the equation solved for x
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x = 5 units
The height is 5 units.
3 + 5 = 8
The width is 8 units.
1 + 3x = 1 + 3*5 = 16 untis
The length is 16 units.