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:
i believe the answer is c
Step-by-step explanation:
because he was worried about what would happen to him
Answer: i put B an got it correct
Step-by-step explanation:
Answer:
.00227 or 5/2197
Step-by-step explanation:
following the basic rules of PEMDAS, we know that we have to solve for the exponent first.
so.... 5/2197
as a decimal, this is .00227...
