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queenflawless31
16.10.2019 •
Mathematics
You want to design a set of four congruent pyramids whose combined volume is the same as the volume of a single rectangular pyramid. why values of l and h for the four square pyramids and what values of l,w, and h for the rectangular pyramid will produce identical volumes
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Ответ:
As long as rectangular and square pyramids have the same length and height, the condition will be fulfilled if rectangular pyramid's width is four times square pyramid's length.
Step-by-step explanation
Reference
l: length
w: width
h: height
Assumption: rectangular and square pyramids have the same length and height.
Volume of a rectangular pyramid
V1 = (1/3)*l*w*h
Volume of a square pyramid
V2 = (1/3)*l^2*h
We need that V2*4 = V1. So
(1/3)*l^2*h*4 = (1/3)*l*w*h
Simplifying
l*4 = w
Ответ: