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How does the surface area-to-volume ratio of a 1-mm cube compare to the surface area-to-volume ratio of a 3-mm cube?
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Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
Which statements about the ratio of cell surface area to cell volume is are correct?
As cell volume increases, the ratio of cell surface area to cell volume decreases. This is because the surface area increases by a square factor while the volume increases by a cube factor. A higher surface area to volume ratio is more favorable for efficient nutrient exchange and waste removal in cells.
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.
How is the surface area to volume ratio of a cell calculated?
Lets say the cell is cuboidal. The surface area of a 1 inch cube is (1X1) 6 or 6 square inches. The volume of the cell is HXWXH or 1X1X1 or 1 cubic inch. The ratio of surface area to volume is 6:1.
Calculate the surface area volume ratio of surface area to volume of an imaginary cubic cell measuring 4 cm on each side?
The surface area of a cube is given by 6 times the side length squared, which equals 6 x (4 cm)^2 = 96 cm^2. The volume of a cube is the side length cubed, which is 4 cm x 4 cm x 4 cm = 64 cm^3. Therefore, the surface area to volume ratio is 96 cm^2 / 64 cm^3 = 1.5 cm^-1.
Calculate the surface-area-to-volume ratio of a 1 mm cube and a 2 mm cube Which has the smaller ratio?
1mm cube has volume of 1mm3 and a surface area of 6*(1*1) = 6mm²2mm cube has a volume of 8mm3 and a surface area of 6(2*2)=24mm²Ratio for 1mm cube is 6-1 and ratio for 2mm cube is 3-1 ■
What is the relationship between cube size and surface area-to-volume ratio?
The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.
What it's the for surface area to volume ratio of a cube?
The surface area to volume ratio of a cube is calculated by dividing its surface area by its volume. For a cube with side length ( s ), the surface area is ( 6s^2 ) and the volume is ( s^3 ). Thus, the surface area to volume ratio is ( \frac{6s^2}{s^3} = \frac{6}{s} ). This means that as the side length of the cube increases, the surface area to volume ratio decreases.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
What is the surface area to volume ratio of a cube?
It is 10 : 3.
What is the ratio of the surface area of the cube to its volume?
It is 10 : 3.
How do you find SA ratio with volume ratio?
The surface-area-to-volume ratio also called the surface-to-volume ratio and variously denoted sa/volor SA:V, is the amount of surface area per unit volume of an object or collection of objects. The surface-area-to-volume ratio is measured in units of inverse distance. A cube with sides of length a will have a surface area of 6a2 and a volume of a3. The surface to volume ratio for a cube is thus shown as .For a given shape, SA:V is inversely proportional to size. A cube 2 m on a side has a ratio of 3 m−1, half that of a cube 1 m on a side. On the converse, preserving SA:V as size increases requires changing to a less compact shape.
What is the ratio of volume to surface area of a cube with the dimesion 1cm x 1cm x 1cm?
It doesn't matter what the unit of measurement is, or what size the cube is. If the length of the side of the cube is 'S' units, then the volume is S3 and the surface area is 6S2. The ratio of volume to surface area is (S3/6S2) = S/6 units. For this one, the ratio is 1/6 cm.
What is the ratio of surface area 300 square and volume 500 cube?
The ratio is 0.6 per unit of length.
If the length side of a cube is increased the surface areea to volume ratio of the cube?
When the side length of a cube is increased, the surface area increases at a different rate compared to the volume. The surface area of a cube is given by (6a^2) and the volume by (a^3), where (a) is the length of a side. As the side length increases, the surface area-to-volume ratio decreases, meaning that larger cubes have a lower ratio compared to smaller cubes. This reflects that while more surface area is created, the volume increases even more significantly.
The ratio of surface areas of two similar polyhedra is equal to the cube of the ratio between their corresponding edge lengths?
False
Is the ratio of the surface areas of two similar polyhedra equal to the cube of the ratio between their corresponding edge lengths?
false
