SOLUTION: A fish tank is a rectangular prism whose height is 4 inches more than its width and whose length is three times as long as the width. Find the volume of the tank as a function of h

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Question 677086: A fish tank is a rectangular prism whose height is 4 inches more than its width and whose length is three times as long as the width. Find the volume of the tank as a function of height. (V= lwh)
What Is The Answer ? Select A,B,C,OR D
A- V = 3h3 - 24h2 + 48h C- V = 5h - 8
B- V = 3h3 - 12h2 D- V = 3h3 + 12h2

Answer by partha_ban(41) About Me  (Show Source):
You can put this solution on YOUR website!
h = w + 4
Therefore, w = h - 4
l = 3w = 3 * (h - 4)
V = lwh
V+=+%283%2A%28h-4%29%29+%2A+%28h-4%29+%2A+h
V+=+3+%2A+%28h-4%29%5E2+%2A+h
V+=+3h+%2A+%28h%5E2+-+2%2Ah%2A4+%2B+4%5E2%29
V+=+3h+%2A+%28h%5E2+-+8h+%2B+16%29
Therefore,
V+=+3h%5E3+-+24h%5E2+%2B+48h
which is A