Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
2 answers:
The volume of a prism is its base area times its height. If we compare this to the formula of the pyramid,we will see one is exactly a third of the other. This means that the volume of a pyramid is exactly one third the volume of the prism with the same base and height.
The volume of a pyramid is one-third the volume of a prism with the same base and height because the formula for volume of prism is V=B.h.where B is area of base and h is height.The formula for volume of pyramid is
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Answer:
Step-by-step explanation:
we know that
The area of the polygon is equal to the area of a square plus the area of four congruent triangles
so
where
substitute