For the rectangle do 10x15 to get 150cm squared
14-10 is 4 so triangle height is 4
Width is 5 as given
4x5 is 20 divide by two as triangle so 10cm squared
150+10=160cm squared
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:
13.8 days
Step-by-step explanation:
In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:
grams days
1000 23
600 x
x = 600 * 23/1000
x = 13.8
which means that for the 600 grams it would be an average life of 13.8 days.
