SOLUTION: The width of a rectangular tank is x cm. Its height is 2/3 its width and its length is four times its height. What is the volume of the tank (in litres)

Algebra ->  Volume -> SOLUTION: The width of a rectangular tank is x cm. Its height is 2/3 its width and its length is four times its height. What is the volume of the tank (in litres)      Log On


   

Question 1180847: The width of a rectangular tank is x cm. Its height is 2/3 its width and its length is four times its height. What is the volume of the tank (in litres)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The width of a rectangular tank is w=x%2Acm.
Its height is 2%2F3 its width =>h=%282%2F3%29w=%282%2F3%29x%2Acm
and its length is four times its height =>l=4h=4%282%2F3%29x%2Acm=%288%2F3%29x%2Acm

What is the volume of the tank (in liters)
V=l%2Aw%2Ah
V=%288%2F3%29x%2Acm%2Ax%2Acm%2A%282%2F3%29x%2Acm
V=%2816%2F9%29x%5E3cm%5E3...................1cm%5E3=0.001 liters
V=%2816%2F9%29x%5E3%2A0.001liters
V=0.00177778x%5E3 liters