Wiki User
∙ 14y agoYes, if the side length of the cube is one-third of the radius of the sphere.
Wiki User
∙ 14y agoNo. 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.
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.
Surface area to volume ratio refers to the ratio of the total surface area of an object to its total volume. This ratio is important in biology and chemistry because it influences the efficiency of processes like diffusion, absorption, and heat exchange. Objects with a high surface area to volume ratio have more surface area relative to their volume, which allows for more efficient exchange of materials.
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As the cell size increases, the surface area to volume ratio decreases. This is because the volume of the cell increases at a faster rate than its surface area. A low surface area to volume ratio can impact the cell's ability to efficiently exchange nutrients, gases, and waste with its environment.
To find the diameter of the sphere, you must calculate the cube root of the volume. The cube root of 20 is approximately 2.71. Therefore, the diameter of the sphere is twice this value, which is approximately 5.42 units.
1.91, About double or A sphere that touches a cube at six points (fits in it) is about .52 times as big as the cube. A comparable cube is about twice as big as a sphere, in common lingo. Ladd P.
The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
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 ■
surface area of sphere = 4πR2 volume of sphere = 4/3πR3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3πR3 s = [cube root (4/3π)] R surface area ofcube = 6 (cube root( 4/3π) times R)2 surface area sphere = 4πR2= 12.56 R2 surface area cube = 15.44 R2 So a sphere has less surface area than a cube with the same volume. Where R= radius of the sphere s=length of side of the cube Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see
let edge of the cube be {x} radius of the sphere inside the cube= x/2 volume of the cube=x^3 volume the sphere=4pi/3*r^3 =4/3*22/7*r^3/8 ratio of the volume=x^3/11x^3/21 =21/11 ans.= 21:11
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 unitIncrease diameter to twice the size: New diameter = 2Area of new sphere = 4 times the area of the initial sphereVolume of the new sphere = 8 times the volume of the initial sphere
It is 10 : 3.
It is 10 : 3.
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.
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.
If the length of the cube's side is 'S', then the surface area is 6S2 and the volume is S3 .The ratio of surface area to volume is 6S2/S3 = 6/S .This number is inversely proportional to 'S'. So as the side increases ...causing the volume to increase ... the ratio does decrease, yes.