Let x cm = side of square to be removed
Volume of box (v) will be x(10 - 2x)(10 - 2x)
v = 4x3 - 40x2 + 100x
v changes in accordance with f(v), the derivative of this, which is 12x2 - 80x + 100
When the rate of change is zero then the volume has reached a maximum or minimum ie when f(v) equals zero.
F(v) factorises as (6x - 10)(2x - 10) = 0
ie the values of x are 10/6 or 5, the latter being meaningless as there would be no box!
The squares to be removed are thus 1 and two thirds cm a side, giving the box dimensions of 6 and two thirds square by 1 and two thirds cm deep, a total volume
of 74 and two twentysevenths cm3 (74.074074 cm3)
Check: if square is 1.666 cm, vol is 6.668 x 6.668 x 1.666 = 74.074065
If square is 1.668 cm then vol is 6.664 x 6.664 x 1.668 = 74.074038
The "maximum volume" value thus lies between 1.666 and 1.668, confirming our calculation of 1.667 cm.
3ml
Squares don't have volume, they have area. The figures you give describe a volume of 1 cubic foot.
You will get the maximum volume in the case of a sphere. You can use the formula for the surface of a sphere to calculate the radius; from there, you can calculate the corresponding volume.Similarly, for other objects, such as a cube, the volume you get will be less.
The question is meaningless. A square is a plane figure which has "area" and not "volume" as in a sphere..
No, vital capacity is the maximum volume a person can exhale after taking the deepest breath that they can
The maximum volume for intradermal injection is 0.1 ml and the maximum volume for subcutaneous injection is 2ml.
What are 'cubic squares' ???? Cubic is an adjective of 'Volume', Squares is a noun of 'Area'. Do you wish to know the Volume of water, or the surface are of the water. ??? Please clarify.
You do not. As two-dimensional shapes geometric squares have area and no volume whatsoever.
Le Volume Était Au Maximum was created in 2000.
Gas
volume
Yes. An iPod at the maximum volume can go up to 130 decibels with the headphones on.
3ml
The measurement to find volume is cm3 pronounced (centimetre's cube) YOU USE SMALL CM3 SQUARES
Inspiratory Capacity
Squares don't have volume, they have area. The figures you give describe a volume of 1 cubic foot.
The maximum volume a microplate reader can handle is 1000 µL. You can read about this at www.the-scientist.com/article/display/14908/.