The pyramid connects a square base to an
apex.
Since you did not specified the type of pyramide
whose TSA and volume are found out, we'll recall the formulas for triangular pyramid and
the square pyramid.
If the pyramid is triangular, the base
is a triangle and the three faces are also triangles
The
total surface area of a pyramid is given by the addition of the area of the base and the
lateral area of the pyramid.
TSA = Base area +
Perimeter*Side Length/2
The volume of triangular pyramid
is:
V = Base area*Height/3
If
the pyramid has a square base, the TSA is:
TSA = Base area
+ Perimeter*Slant Length/2
The formula of the volume
remains the same.
Therefore, the formula that
gives TSA for a triangular pyramid is different from the onr that gives TSA for a square
pyramid, but the formula of the volume is the same for both
types.
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