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The volume of an aquarium at a zoo is 2160 cubic feet. The tank is 10 feet wide and the length is 6 feet less than twice its height. Find the dimensions?
Wiki User
∙ 14y ago
Let the height be 2x and the length be 2x-6:
10*2x*(2x-6) = 2160 cubic feet
Divide both sides by 10:
2x*(2x-6) = 216
Multiply out the bracket:
4x2-12 = 216
4x2-12-216 = 0
Solving the above equation by using the quadratic equation formula will result as:
x = -6 or x = 9 so it must be the latter because dimensions can't be negative.
Therefore: height = 18 feet, length = 12 feet and width = 10 feet
Check: 18*12*10 = 2160 cubic feet
Wiki User
∙ 14y ago
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