answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Which has greater surface area a sugar cube or an equal mass of sugar crystals?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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

The sugar crystals because there is a greater amount of surface area readily exposed for chemical reaction.


Does a sugar cube have a greater surface area than sugar crystals?

depends on the two objects!


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.


What is coarse sugar?

Coarse sugar is a sugar with greater crystals.


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

The granulated sugar would react more quickly, as it has more surface area to react in.


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

When the granules dimension of a material is lowered the surface area is increased and the reaction rate is higher.


Why would a single sugar cube react more slowly in a chemical reaction than an equal mass of sugar crystals?

The free flowing sugar crystals have more free surface area and shorter diffusion paths than a tightly packed cube. Thus chemistry and dissolution both occur faster. VERY fine sugar can explode if suspended in air.


What are sugar crystals made for?

From sugar monoclinic crystals.


What is sugar quartz?

Sugar Quartz is a gemstone with a natural surface texture much like fine sugar crystals formed by natural phenomena of micro-crystalline facets.


Why does sugar not immediately dissolve when it is placed in water?

it is all about surface area. if you were to stir it the sugar crystals would have water on all sides, but when sitting in the bottom of a cup the water has to dissolve the crystals on the outside, and then it would keep going.


Why do large crystals of sugar burn slowly?

there is no air between molecules :))) in other words - the surface of burning is less :)


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

A reaction required the sugar in solid form being mobile in solution and since the sugar cube had a lot of pore and hidden surface area, the rate of dissolution would be faster and hence faster chemical reaction.