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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.


If you have a cube of modeling clay in your hands. what changes to the shape of this cube of clay will decrease its surface area relative to its volume?

To decrease the surface area relative to its volume, you can reshape the cube of modeling clay into a more spherical form. Spheres have the lowest surface area for a given volume compared to other shapes, including cubes. By transforming the clay into a sphere, you effectively reduce the surface area while maintaining the same volume, resulting in a more efficient shape.


Which has greater surface area a sugar cube or an equal mass of sugar crystals?

Consider this:If a cube has side length d, then its volume is d3 and its surface area is 6d2.If I cut the cube into 8 smaller cubes by bisecting each edge, then the new side length is d/2, the sum of the volume is 8 * ((d/2)3) = d3, and the surface area is 8 * (6(d/2)2) = 12d2.Therefore, even though the volume stayed constant, the sum of the surface area increased when I cut a larger cube into small cubes. The increase in surface area will be larger and larger as the cube is cut into smaller and smaller pieces. Therefore a sugar cube always has less surface area than an equal mass of sugar crystals.Granulated sugar has more surface area than a sugar cube.


Who has greater surface area a sugar cube or an equal mass of sugar crystals-explain?

A mass of sugar crystals has a greater surface area compared to a sugar cube of equal mass. This is because sugar crystals are typically smaller and more irregularly shaped, allowing for more exposed surfaces. In contrast, a sugar cube is a compact structure with fewer exposed surfaces relative to its mass, resulting in a lower overall surface area. This increased surface area in sugar crystals can enhance their rate of dissolution and reaction in various processes.


What has more surface area a sugar cube or an equal amount of loose granular sugar?

Loose granular sugar has more surface area than an equal amount of a sugar cube. This is because the individual granules of loose sugar are exposed on all sides, while a sugar cube has a solid structure with fewer surfaces exposed. As a result, the increased surface area of loose sugar allows for faster dissolution and interaction with liquids.

Related Questions

What has more surface area a sphere or a cube?

A sphere has less surface with the same diameter.


Does a larger surface area makes diffusion happen more quickly?

yes. Lets for example take a potato cube put in a jar of water. if the potato cube has a large surface area, then more of its surface will be exposed to water molecules, meaning that more can diffuse into it more quickly.


What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?

If a sphere and a cube have the same volume, the sphere will have a larger surface area. This is because the sphere has the smallest surface area to volume ratio of any geometric shape, resulting in a larger surface area for a given volume compared to other shapes like cubes. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere, while the surface area of a cube is given by 6s^2, where s is the length of one side of the cube.


Does the shae of an ice cube affect how it melts?

The shape of an ice cube can affect how quickly it melts. Ice cubes with a larger surface area will melt faster than ice cubes with a smaller surface area because more of the ice is exposed to the surrounding environment, allowing for faster heat transfer. So a cube-shaped ice cube will generally melt slower than a flat, thin ice cube due to its smaller surface area.


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.


Does a sphere shaped ice cube melt faster than a regular shaped ice cube?

A cylinder shaped ice cube will melt faster because it has a greater surface area than the rectangle-shaped ice cube has. Cubes of ice with less surface area will melt slower. Ice that has very low surface area has more ice concealed inside than it does on the outside. Therefore, ice cubes that have more surface area will melt faster... I hope this will help you.. :) ..


Which would react more quickly in a chemical reaction a single cube or an equal mass of sugar crystals?

In a chemical reaction it is likely that a single cube will react more quickly than an equal mass of sugar crystals. This is due to the fact that the surface area of a single cube is much smaller than the total surface area of the sugar crystals. The larger surface area of the sugar crystals increases the amount of time it takes for the reactants to reach the surface and begin the reaction.The following points explain why a single cube would react more quickly than an equal mass of sugar crystals: A single cube has a much smaller surface area than an equal mass of sugar crystals. The smaller surface area of the single cube allows the reactants to reach the surface and begin the reaction more quickly. The larger surface area of the sugar crystals increases the amount of time it takes for the reactants to reach the surface and begin the reaction.In conclusion it is likely that a single cube will react more quickly than an equal mass of sugar crystals due to the larger surface area of the sugar crystals.


Which has greater surface area a sugar cube or an equal mass of sugar crystals?

Consider this:If a cube has side length d, then its volume is d3 and its surface area is 6d2.If I cut the cube into 8 smaller cubes by bisecting each edge, then the new side length is d/2, the sum of the volume is 8 * ((d/2)3) = d3, and the surface area is 8 * (6(d/2)2) = 12d2.Therefore, even though the volume stayed constant, the sum of the surface area increased when I cut a larger cube into small cubes. The increase in surface area will be larger and larger as the cube is cut into smaller and smaller pieces. Therefore a sugar cube always has less surface area than an equal mass of sugar crystals.Granulated sugar has more surface area than a sugar cube.


What has more surface area a sugar cube or an equal amount of loose granular sugar?

Loose granular sugar has more surface area than an equal amount of a sugar cube. This is because the individual granules of loose sugar are exposed on all sides, while a sugar cube has a solid structure with fewer surfaces exposed. As a result, the increased surface area of loose sugar allows for faster dissolution and interaction with liquids.


Which has greater surface area a suger cube or an equal mass of suger crystals?

The crystals. One way to think of this is the following. The cube has a certain surface area - the outside. If you cut it in half with a knife, you add additional surface area, at the cut. Any additional cut will continue increasing the surface area. In general, small objects have a larger surface/volume ratio than large objects, other things being equal (which in this case means, their shape is the same). An object that is 10 times larger than another (geometrically similar) object has 10 times more surface/volume ratio.


Would a single cube of baking soda react more rapidly than powered and why?

No, the powdered baking soda would react faster because it has a higher surface area which is exposed. No, it would not. Powdered baking soda has much more surface area and allows for more rapid interaction then a cube would allow.


What are the 5 factors that can affect the rate of a chemical reaction?

Chemists can control rates of reactions by changing factors such as surface area, temperature, and concentration, and by using substances called catalysts and inhibitors.A:Temperature, Concentration of the reactants, Catalyst, Surface area, the nature of the reactants, residence time and Pressure. A:But I have to clear this about the surface area factor to all.Heat IS a catalystOr the more the surface area exposed, the faster the rate of reaction?In my reference books and certain websites,the larger the surface area exposed, the fasterthe rate of reaction is stated.In my opinion, the correct one should be,the more the surface area exposed, the faster the rate of reaction.To support my opinion, this is my explanation;Hypothesis(my text/reference books) : The larger the surface area exposed,the faster the rate of reaction.The larger the surface area means thatthe bigger the size of the reactants.Let me take a cube, Cube A with 4cm sides.1 cube has 6 surface area exposed.4 x 4 = 16cm² ; 1 surface area is 16cm². [Larger surface area,but slower rate of reaction.= Doesn't support hypothesis.][Total surface area.]6 x 16cm² = 96cm²Now let me cut Cube A(same cube as before) into 4 equal pieces.Now there are 4 cubes; let each cube be Cube B.Then, each Cube B will be 2cm per side.2 x 2 = 4cm² ; 1 surface area is 4cm². [Smaller surface area,but faster rate of reaction.= Doesn't support hypothesis.][Total surface area of 1 Cube B.]6 x 4cm² = 24cm²[Total surface area of 4 Cube B's.]24cm² x 4 = 96cm² (To show that both cubes have the same mass.)Conclusion : The larger the surface area exposed, the slower the rate of reaction.Hypothesis is not accepted.If you use the term, larger in this condition,it is wrongly used.Hypothesis(my text/reference books) isthe larger the surface area exposed, the fasterthe rate of reaction.As we all know,the cube with the larger surface area exposed will react slowerthan the cube with the smaller surface area.Into my opinion, the more the surface area exposed, the faster the rate of reaction.I am describing the surface area exposed in terms of amount instead of size.Hypothesis(my opinion) : The more the surface area exposed,the faster the rate of reaction.Taking the same cubes, Cube A and Cube B's as mentioned above,Cube A ; 6 surface area exposed. [Less surface area exposed,slower rate of reaction.]Cutting Cube A into 4 equal pieces = 4 Cube B's.(1 Cube A = 4 Cube B's.)1 Cube B ; 6 surface area exposed.4 Cube B's ; 6 x 4 cubes = 24 surface area exposed. [Moresurface area exposed,faster rate of reaction.]Conclusion : The more the surface area exposed, the faster the rate of reaction.Hypothesis is accepted.it is temperature in general. not just heat. heat may be a catalyst but cold is not.