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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.
Does a planet with greater mass have greater surface area?
A planet with a greater mass does not necessarily have greater surface area than one with less mass. The planet could be made of denser material and have a smaller surface area. Mass doesn't always mean volume.
Which is true about the volume or surface area of these prisms?
You must be with K12 if you are it is The surface area of A is greater than the surface area of B.
The greater the surface area of an object the greater the air resistance?
Yes this is true.
How much greater is a surface area of a cube with a side length of 10 centimeters?
The surface area is 600 centimeters.
