You cannot compare volume and surface area and claim which one is bigger, because the units are different (units2 vs. units3) and it also depends on the type of unit used (e.g. inches, centimeters). You could compare volume and surface area numerically, but that would be virtually meaningless.
I previously posted an example of a cube with side length 1 meter. In this cube, the volume is 1 m3 and the surface area is 6 m2, implying "larger" surface area. However, if we said that the side length was 100 centimeters (same value), the volume would be 106 cm3 and the surface area would be 6*104 m2. Here, the volume was "larger."
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The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
The total surface area is 150mm2 and the volume of the cube 125mm3
figures with the same volume does not have the same surface area.
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