Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
A number cube has 6 different numbers.
A coin can have 2 outcomes ( heads or tails.)
Total out comes = 6 x 2 x 2 = 24
Answer:
11
Step-by-step explanation:
Step 1:
3/7r+5/8s
Step 2:
So u multiply 3/7 by 14
3/7 x 14= 42/7= 6
Step 2.5:
Now u multiply 5/8 by 8
5/8 x 8= 40/8= 5
Step 3:
<u><em>6+5=11</em></u>
The LCM of 120 and 150 is 600