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.
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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:
x=1
Step-by-step explanation:
2x+16-4x=10x+4
-2x+16=10x+4
16-4=10x+2x
12=12x
1=x
Answer:
Step-by-step explanation:
You get 2640 and double it which is 5280 and then do 2640/5280 which is 0.5, that is the amount of miles in 2640 feet. So the answer is 0.5 mph which is C
Answer:
<h2>4</h2>
Step-by-step explanation:
the equation is
36 = 4+8x
when you solve for x the answer is 4
Answer:
4.54 inches
Step-by-step explanation:
