The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.
The dimensions of your box will be 8 ft square by 4 ft high.
_____
If the base dimension is x ft, the area (quantity of material) is
... a = x² + 4x(256/x²)
... a = x² + 1024x⁻¹
Then the derivative of area with respect to x is
... a' = 2x -1024x⁻²
Setting this derivative to zero and solving for x gives the value of x for minimum area.
... 0 = 2x -1024/x²
... 512 = x³
... x = 8 . . . . . . . . same as above.
Answer:
The answer is 102 miles
Step-by-step explanation:
To get this, find either Hot Springs or Sturgis on the left hand column. Once you have found the row labelled with it, follow it over until the column with the header of the other one. No matter which one you start with, you will get the same answer.
Answer:
23 min 30 sec
Step-by-step explanation:
First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.
I Hope This Helped :D
Answer:
5
Step-by-step explanation:
cos 60° = y / 10
y = 10 * 1/2 = 5
