A rectangular water tank is to be built in your town, with a volume of (3x3 - 15x + 18x) Cubic If its length and width are 3x units and x-2 units, respectively, find its height. [Volume of a rectangular tank = Length x Breadth x Height]
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Volume of the rectangular tank= 3x³-15x+18x
Volume of cuboid= l×b×h
So,
3x×(x-2)×h= 3x³-15x+18x
Height:
3x³-15x+18x
______________
3x×(x-2)
= 3x(x²-5+6)
______________
3x(x-2)
= 3x (x²+1)
______________
3x (x-2)
= x²+1
_______
x-2
Height of rectangular tank= x²+1
_____
x-2
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