(3) The maximum combined dimensions of a box accepted by the USPS is 108 in. If
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(3) The maximum combined dimensions of a box accepted by the USPS is 108 in. If the box has a squared end, what dimensions will give the box the maximum volume? (4) A fridge is thrown over horizontal ground from the origin with an initial velocity of 12 m/sec and an angle with the ground of a rad. Its range R is the distance from the origin to the point of impact and it's defined as sin 20 where g is the gravity acceleration (Assume 1 9.81 m/sec2) and 0 is the initial velocity. Which is the value of alpha that maximizes the range of the fridge?Explanation / Answer
3. Let the length of square side be x in .
So the other length be y in .
S = 4x+4xy
108 = 4x(1+y)
27 /(1+y) = x
V = x2y = 729y /(1+y)2
V ' = - 729(y-1)/(y+1)3
V ' =0
y-1=0
y=1 in
x = 27/(1+1) = 27/2 in
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