Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a 
sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by V(x) = 144x - 48x2 + 4x3. By sketching the graph of V(x), estimate what values of x result in a box with a volume greater than 64 in3.
A. 1.5 in. ? x ? 2.5 in.
B. 0.1 in. ? x ? 5.0 in.
C. 1.0 in. ? x ? 3.0 in.
D. 0.54 in. ? x ? 4 in.
Answer: D
Mathematics
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