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Why when you multiply the dimensions of a cube by two is the volume much larger but the surface area remains the same?
Because
The volume increases much more rapidly than the surface?
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.
Do cubes have the same volume and surface area?
Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.
Why a cell grows larger the surface area of the cell increases much more rapidly than the volume of the cell True or false?
True. As a cell grows larger, its volume increases more quickly than its surface area. This is because volume is determined by the cube of the linear dimension (x^3), while surface area is determined by the square of the linear dimension (x^2). This can lead to issues with nutrient and waste exchange as the cell grows larger.
How do circular folds increase the surface area for digestion and absorption in the intestine?
Folds increase the surface area to volume ratio.Imagine a circle with folds all around the edge and another circle the same size with a flat edge. Both circles have the same volume, but the one with the folds has a much larger surface area.
Does the volume of a cell grow more or less rapidly than the surface area?
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.
Alex wants to know how much gift wrap a box Surface area or volume?
Alex wants to know how much gift wrap to use to wrap a box. Is that surface,area, volume
As a cell increases in size the a. metabolic rate increases. b. surface area to volume ratio increases. c. volume increases and the surface area increases. d. surface area increases and the volume d?
d. surface area increases and the volume does not increase at the same rate, leading to a decrease in surface area to volume ratio.
What is cell volume?
The volume is how much space is inside the cell. The ratio is the surface area divided by the volume. This indicates how much surface area is available compared to how big the cell is.
What two things limit the size of a cell?
The surface area to volume ratio and the efficiency of transporting materials in and out of the cell limit the size of a cell. As a cell grows larger, its volume increases faster than its surface area, making it more difficult for nutrients and waste products to move efficiently across the cell membrane.
What increases the surface area?
This only applies to larger mammals. The cerebral cortex is folded into many gyri (ridges) and sulci (furrows), which has allowed the cortex to expand in surface area without taking up much greater volume.
Why do smaller cells have a greater surface area to volume ratio?
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.
