Volume in cubic units = 1/3*base area*height
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There are none because a square can't be expressed in terms of volume
The formula for volume is side cubed, and the formula for a square's area is side squared, so you find the cube root of the volume and square your answer to find area.
None exist. A square is a measurement of area, length is a linear measurement and volume is a capacity. To find the lengths of a square from the area, take the square root of the area. To find the lengths of a cube from the volume, take the cube root of the volume. To clarify: Area refers to a two-dimensional space. Volume is three dimensional, and thus appropriate for a cube or ball, not a square or circle.
Base = sqrt(Volume/Height)
Your roof is a square based pyramid.