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3 to 7
To obtain the ratio of surface area to volume, divide the surface area by the volume.
533 m2/1,372 m3 = 0.3885 per meter (rounded)
It is not possible to have a sphere with a surface are of 300 metres squared and a volume of 500 metres cubed. A surface area of 300 sq metres would imply a volume of 488.6 cubic metres or a shape that is non-spherical!
surface area/ volume. wider range of surface area to volume is better for cells.
3 to 7
6:1
To obtain the ratio of surface area to volume, divide the surface area by the volume.
The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
DNA, Diffusion, and Surface Area to Volume Ratio.
533 m2/1,372 m3 = 0.3885 per meter (rounded)
Larger cells will have a greater surface area-to-volume.
It is not possible to have a sphere with a surface are of 300 metres squared and a volume of 500 metres cubed. A surface area of 300 sq metres would imply a volume of 488.6 cubic metres or a shape that is non-spherical!
When cells get smaller, the volume (as well as mass) decreases faster than the surface area so the surface:volume increases. Cells with a high surface:volume are more effective in receiving nutrients through diffusion. A cell (assume perfect sphere) with radius 2 has a surface area of 16pi and volume of 32pi/3. A cell with radius 3 has a surface area of 36pi and volume of 108pi/3. Also relatively speaking, volume can be thought of as y=x3 and surface area as y=x2. When there is a change in x, the change is more dramatic in the volume, so small cells have high ratios and large cells have low ratios.
The surface area to volume ratio will increase
As volume increases surface area increase, but the higher the volume the less surface area in the ratio. For example. A cube 1mmx1mmx1mm has volume of 1mm3 surface area of 6mm2 which is a ration of 1:6 and a cube of 2mmx2mmx2mm has a volume of 8mm3 and surface area of 24mm2 which is a ratio of 1:3.
surface area/ volume. wider range of surface area to volume is better for cells.