0
How much faster does volume increase compared to surface area?
Wiki User
∙ 11y ago
Hi,
In general when something becomes larger, the surface area to volume ratio decreases. The analogy of a cube is indeed a useful way to think about it. I'll try to put it in more general terms.
Cubes are a great example to talk about because their surface area and volume are really easy to calculate. The surface area of a cube is the length x the width x the number of sides (six sides, in the case of a cube). The volume of a cube is the length x width x volume.
So, say we have a cube with a side length of three. The surface area is going to be 3x3x6 = 54. The volume is going to be 3x3x3 = 27, for a ratio of 54:27, or 2:1
//Another contributor does not think you should make a ratio of different dimensions (area and volume)//
Surface area increases as the square of a dimension, volume increases as the cube of a dimension.
Example:A sphere (ball)
Diameter = 1 unit
Increase diameter to twice the size: New diameter = 2
Area of new sphere = 4 times the area of the initial sphere
Volume of the new sphere = 8 times the volume of the initial sphere
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What the relationships between the surface area of an object and the volume as the object increases in size?
They both increase. The rate of increase of the surface area is equivalent to the rate of increase of the volume raised to the power 2/3.
What happens to the surface volume of a cube if the length of each edge is doubled?
the volume increase 8 times
Which cell has the greater surface area compared to its volume the large cell or one of the smaller cells?
A smaller cell has a higher surface area to volume ratio. A reason for this is volume is cubic (3D) and surface area is 2D so when surface area increases a little bit, the volume increases exponentially. And when the surface area shrinks a little bit, the volume decreases exponentially.
Do cells divide to have a smaller surface area?
No. In fact, if they retain their combined volume, their surface area would increase.
If you compared a tiger a horse and a hippopotamus which would have the smallest surface area to volume ratio?
hippopatamus
Which typically increase faster as a cell grows surface area or volume?
Volume
Why air bubbles from the deep smaller when compared to surface of water?
In their motion to the surface air bubbles are associated and the volume increase.
What happens to the volume of an object as its surface area increases?
In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.
What happens to a cells surface as a volume ratio as a cell gets bigger?
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
What happens to the volume and surface area of a cell as a cell becomes larger?
They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.
What happens to the surface area and volume of a cell as it becomes larger?
They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.
How does surface to volume ratio affects heat loss?
The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. An increase in the radius will increase the surface area by a power of two, but increase the volume by a power of three.
How does the surface area to volume ratio change as the cell size increases?
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
Why does tea in a cup become cold earlier as compared to teapot?
A cup has a greater surface area compared to its volume than a teapot (surface area to volume ratio). This means that relatively more tea is exposed to the colder surroundings in a cup than a teapot, so it cools down faster.
How is an increase of diameter of a cell related to the increase in surface area and volume?
If all other dimensions of the cell remain the same, both surface area and volume should increase if the diameter is increased.
How does the volume of a liquid affect heat loss?
The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. An increase in the radius will increase the surface area by a power of two, but increase the volume by a power of three.
Does the mass increase faster than volume in density?
increses
