14. A 12-ft (144-in.) wire is cut into eight pieces which are welded together to form a...
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14. A 12-ft (144-in.) wire is cut into eight pieces which are welded together to form a pyramid as shown, such that in the rectangular base
. Write a MATLAB program that determines the dimensions a and b such that the volume of the pyramid will be as large as possible. In the program define a vector a with values ranging from 4 to 14 in. with increments of 0.01 in. Use this vector for calculating the corresponding values of
b, h and the volume. Then use MATLAB’s built-in function max to find the dimensions of a and b that correspond to the pyramid with the largest volume.
Tb = 49.161lnp + 44.932 Tb 2 in.
a h
2 in.
2 in.
a b
h 4.7 Problems 127
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