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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?
Wiki User
∙ 12y ago
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Seamus Toy
Wiki User
∙ 12y agoVolume to surface area follows the cube-square law. For a cube with side length a, the surface area is 6*a^2 and the volume is a^3 (or a-cubed, from the name of the shape).
So a 1mm cube has a surface area of 6*1^2 = 6 sq. mm and a volume of 1^3 = 1 cu. mm.
A 3mm cube has a surface area of 6*3^2 = 6*9 = 54 sq. mm and a volume of 3^3 = 27 cu. mm.
So as you can see, when the length triples the surface area goes up by a factor of 9 (or 3 squared) while the volume goes up by a factor of 27 (or 3 cubed). Hence the cube-square law.
This law applies to any shape, spheres, cylinders, etc., not just cubes. It also applies to mass. As long as the density of an object remains the same, the surface area increases as the square of the multiplier and the mass increases as the cube of the multiplier.
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Can the surface to volume ratio of a sphere be the same as a cube?
Yes, if the side length of the cube is one-third of the radius of the sphere.
What is the regular melting rate of ice cubes?
this will depend on the temperature of the atmosphere the ice cube is in and the surface area to volume ratio of the ice cube amongst other things....
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.
What is meant by surface area to volume ratio?
Surface area to volume ratio is defined as the amount of surface area per unit volume of either a single object or a collection of objects. The calculation of this measurement is important in figuring out the rate at which a chemical reaction will proceed.
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 is the ratio of the surface area of the cube to its volume?
It is 10 : 3.
What is the surface area to volume ratio of a cube?
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.
Can the surface to volume ratio of a sphere be the same as a cube?
Yes, if the side length of the cube is one-third of the radius of the sphere.
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
What is the surface area to volume ratio for a cube that has a length of 8 mm?
384 mm2
What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?
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.
