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A derivative is to the rate of change as an integral is to?
A derivative is to the rate of change asan integral is to area/volume.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
How can two cylinders have the same surface area but different volume?
Change in height and circumference
How do you convert Square centimeter to Cubic centimeter?
Square Cm is a unit of Area. Cubic Cm is a unit of volume. You can't change areas into volumes, just as you can't change weight into length. They are different types of measurement. . If you know the size of an area, and if, and only if, that area has a thickness that you can measure, then you can calculate the volume. But, you do not 'convert' it to a volume, you calculate it's volume . To calculate volume you need 3 measurements, length, width, height. To calculate area you need only 2 measurements , length ,and width.
How can you obtain a cell's ratio of surface area to volume?
To obtain the ratio of surface area to volume, divide the surface area by the volume.
