A circle
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They are spheres. They cannot therefore have different geometrical properties. To alter surface to volume ratios you would need to alter the shape. The study of mathematical shapes is called topology.
The depth would have to have a value of 1. For example, a slab 60" long by 24" wide by 1" deep would have the same surface area as volume. Examples: Area = LxW (60x24=1440 sq inches). Volume = LXWXD (60x24x1=1440 cubic inches). In this case, the volume has the same value as the surface area
A cone would fit the given description
A cube has 6 faces of equal area. Area of each face would then be: 294 / 6 = 49 cm2. Each face is a square with edge of length equal to square root of its surface: a = sqrt(49) = 7 cm. Volume of cube is V = a3. For a = 7 cm, it would be V = 343 cm3.
To calculate the surface area of a brick, you would find the surface area for each of the 6 sides, then add them together. To find the surface area of one of the faces/sides, you would multiply the length of the face in question by the width of that same face. If this is a regular brick, then the sides should match up, meaning if you do one side, then the opposite side should be the same surface area. To find the volume, you multiply the height of the brick by the length of the brick by the width of the brick.