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To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3

This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5

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Q: How do you find the direct proportion between volume and surface area of a cube?
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Related questions

How does a surface area of a solid vary with its volume?

Provided the shape remains similar, the surface varies as the 2/3 power of the volume. Or, to put it another way, the cube root of the volume varies directly as the square root of the surface area. Or, the square of the volume is in direct proportion to the cube of the area.

What it is inverse and direct proportion?

Direct Proportion means that as one increases, the other also increases.Inverse proportion is the reciprocal of direct proportion. If something is in the direct proportion of 1:3, then the inversion proportion is 3:1.OrIndirect Proportion means that as one increases the other decreases, or one is directly proportional to 1 divided by the other. Example: Pressure is indirectly proportional to volume, or Pressure is directly proportional to 1/Volume.

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There is no direct relationship.

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the relationship between pressure and volume a direct or inverse?

What happens to the density of an object if the mass increases but the volume stays the same?

If the volume remains the same, the density will increase in direct proportion to the increase in mass.

How many times is the volume of a triangular prism different form it's surface area?

There is no direct relationship between the two. The ratio depends on the relative measures.

Does gas retain it's volume at varying temps and pressures?

It can but, not necessarily so. At a constant volume the temperature and pressure rise in direct proportion. At a constant temperature the volume is inversely proportionate to the pressure. At a constant pressure the volume is directly proportionate to the temperature.

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The volume of a body and the surface area arerelated but not in a direct way. For a given volume, the smallest surface area of an object is seen then the object is a sphere. As the shape flattens from a sphere, so the surface area becomes larger. When the object approaches an infinitely small thickness, the surface area approaches and infinite size.

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As the volume of a cell grows, the surface area grows but not as quickly.

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The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.