This is because volume is cubic, while surface area is squared. As a result, when an object increases in size, its volume increases at a faster rate than its surface area. This phenomenon is why small organisms, with a large surface area relative to their volume, can exchange gases and nutrients more efficiently than larger organisms.
As the temperature of a substance increases, the average kinetic energy of its molecules also increases. This increased kinetic energy causes the molecules to move more rapidly and spread out, leading to an increase in volume. The expansion of the substance is due to the increased space between the molecules as they move more freely.
If the mass of a fixed volume of air increases, the density of the air becomes more dense. Density is defined as mass divided by volume, so as the mass increases while the volume remains constant, the density increases.
If the mass of a fixed volume of air increases, it becomes denser. This means that there are more air molecules present in that volume, making the air more compact and heavier.
A rough surface would absorb and radiate heat more rapidly compared to a smooth surface. This is because a rough surface has more surface area in contact with the surrounding environment, allowing for more efficient transfer of heat through conduction and radiation.
When the temperature of a gas increases at constant pressure, its volume increases as well. This is due to the gas particles gaining kinetic energy and moving faster, leading to more frequent collisions with the container walls and thus expanding the volume.
The cell's ratio of surface area to volume would decrease if its volume increases more rapidly than its surface area.
it callapses
it decreases
The volume of a cell grows more rapidly than its surface area. This is because volume increases with the cube of the cell's size, while surface area increases with the square of the cell's size. This has implications for processes like nutrient exchange, as a larger cell may struggle to adequately supply its interior with nutrients and remove waste.
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.
The ratio decreases.
The ratio decreases.
As a cell increases in size, its volume increases more rapidly than its surface area. This is because volume increases cubically with size, while surface area only increases squared. This can create challenges for the cell in terms of nutrient exchange and waste removal as the cell grows larger.
No, a basketball does not have a high surface-to-volume ratio because the volume of a sphere increases more rapidly than its surface area as its size increases.
True. As a cell grows in size, its volume increases faster than its surface area. This is because volume increases cubically with the size of the cell (length x width x height), while surface area increases squared with the size of the cell (length x width). This can lead to issues with nutrient exchange and waste removal if the cell becomes too large.
The cell's ratio of surface area to volume would decrease. However, this scenario is extremely unlikely.
If the cells are spherical, the surface area increases as the square of the radius while the volume increases as the cube of the radius. Therefore, as the cells become larger, their volumes increase much more rapidly than their surface areas. Conversely, as the cells become smaller, their volumes decrease much more rapidly that their areas and so the surface area to volume increase. With non-spherical cells the calculations are much more complex, but the general pattern still applies.