no.. VOLUME is the amount of space occupied by a three-dimensional object or region of space, expressed in cubic units while area, measure of the size of a surface region, usually expressed in units that are the square of linear units, e.g., square feet or square meters.
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figures with the same volume does not have the same surface area.
well, they can, but they dont have to be no. :)
Not necessarily. Having the same volume does not mean having the same surface area. As an example, if you were to take a sphere with volume 4/3*pi*r^3, and a suface area of 4*pi*r^2, and compare it to a cube with sides 4/3, pi, and 4^3, you would find that they had a different surface area, but the same volume. Let the radius of the sphere be 2, that is r = 2. In this case the surface are of the sphere is about 50, and the surface are of the cube is about 80. So a sphere and a cube, both with a volume of about 33.51 (4/3 * pi * 8), have different surface areas.
No. How can they be the same, if one of them is a two-dimensional measure, the other a three-dimensional measure.
In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.