if two pyramids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes? ...?
2 answers:
<span>The answer is 8:343.
</span>We can use Galileo's square cube law to calculate the ratio between two similar pyramids. The law is used to describe the change of the area or the volume of the shape when their dimensions increase or decrease:
<span>
</span><span><span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> </span></span></span></span></span></span></span></span></span> </span></span> </span>
V₁ and V₂ - volumes of pyramids,
l₁ and <span>l</span>₂ - the edges of pyramids.
<span>
</span>
<span>
</span>
</span>We can use Galileo's square cube law to calculate the ratio between two similar pyramids. The law is used to describe the change of the area or the volume of the shape when their dimensions increase or decrease:
</span><span><span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> </span></span></span></span></span></span></span></span></span> </span></span> </span>
V₁ and V₂ - volumes of pyramids,
l₁ and <span>l</span>₂ - the edges of pyramids.
<span>
</span>
</span>
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1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1.
Let's calculate probabilities of each event:
If we summ all those probabilities we get 1.
The answer would table C (lower left corner).