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:
B) y = 9 x has Proportionality Constant = 9
Step-by-step explanation:
Two quantities P and Q are said to be PROPORTIONAL if and only if:
P ∝ Q ⇔ P = k Q ⇔
Here, k = PROPORTIONALITY CONSTANT
Given : k = 9
Now, let us consider the given expressions in which x ∝y
y = 81/3 x
Here,
So, here Proportionality Constant ≠ 9
y = 9 x
Here,
So, here Proportionality Constant = 9
y = 3 x
Here,
So, here Proportionality Constant ≠ 9
y = 1/9 x
Here,
So, here Proportionality Constant ≠ 9
Hence, only y = 9 x has Proportionality Constant = 9