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>
You might be interested in
Answer:
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
Because the parameter is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is .