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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 is a cube is removed from the corner of a larger cube Datermine and explain the relationship between the total surface area of the original larger cube the new figure with the missing portion?
If we remove a cube from the corner then cavity we get to see can be considered in the form of a cuboid room and the room doesn't has roof and front wall because the cube is removed from the corner(you can consider any two surfaces).Let us say the side of larger cube be A then its surface area is 6A2.And we have removed a cube of side a from the corner. After removing we get 4 squares of side a in the cavity and the area is 4 x a2. But the roof and front wall is not there so there is decrease in area by 2 x a2.So, the surface area of new figure is 6A2 + 4a2 - 2a2 = 6A2 + 2a2.So the surface area of new figure is more than the original cube.
If you cut a cube in half will the combined surface area of the two halves be more or less?
Yes it will be less because if you take a net of a cube and find the surface area it would be for example 30cm2 and if it was cut in half it would be 15cm squared so its smallerCORRECT ANSWER:Neither. It will be more in area because although you have made two halves of a cube, you have added a new exposed side on each of the halves, thus making 2 sides the same size as the cube. It will lessen by half the area on 4 of the sides which are bisected. So you get the same area that you started with. The above formula is close, but did not account for the other half. Hooweestiki.==========================THE ANSWERS ABOVE ARE WRONG.==========================Here's why...First, picture a cube one inch on a side.Each side is one square inch; Six square inches total of SURFACE AREA .-------------------SCENARIO #1-------------------A slice (either vertical or horizontal) will add TWO (2) more sides, each being an additional square inch, for a sum total of eight (8) square inches.An increase of 2 sq. in. over the original six (6) sq. in. is an increase of 33 percent. So, for vertical or horizontal halving, the formula is, as follows:[ORIGINAL SURFACE AREA times 1.33]-------------------SCENARIO #2-------------------But if you halve the cube on a diagonal, the resultant new surfaces will be oblong, measuring 1" by 1.414" (the Square Root of two) adding almost another square inch of surface area.2 x ( 1 x 1.414) = 2.828 square inchesThe total SURFACE AREA is now 8.828 (when halved on the DIAGONAL).This is an INCREASE of 47.13333 percent.Resultant formula:[ORIGINAL SURFACE AREA times 1.4713]-------------------THEREFORE-------------------FINALLY, the answer to your question is somewhere between these two extremes, because your cut will be neither a perfect vertical cut, nor a perfect diagonal cut.
As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
What has more surface area a sphere or a cube?
A sphere has less surface with the same diameter.
What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
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
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.
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.
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.
What is a cube is removed from the corner of a larger cube Datermine and explain the relationship between the total surface area of the original larger cube the new figure with the missing portion?
If we remove a cube from the corner then cavity we get to see can be considered in the form of a cuboid room and the room doesn't has roof and front wall because the cube is removed from the corner(you can consider any two surfaces).Let us say the side of larger cube be A then its surface area is 6A2.And we have removed a cube of side a from the corner. After removing we get 4 squares of side a in the cavity and the area is 4 x a2. But the roof and front wall is not there so there is decrease in area by 2 x a2.So, the surface area of new figure is 6A2 + 4a2 - 2a2 = 6A2 + 2a2.So the surface area of new figure is more than the original cube.
