Answer:
The volume of the larger pyramid is equal to 
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
In this problem, the ratio of the height is equal to the scale factor

step 2
Find the volume of the larger pyramid
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> volume of the smaller pyramid
y----> volume of the larger pyramid

we have


substitute

Answer:
Perimeter = 9x + 12x + 15x
Perimeter = 36x (simplified)
The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
Learn more about inverse variation:
brainly.com/question/10252139
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Proportional reasoning is the ability to compare two things using information given, in math, it is most frequently defined as comparing quantities. For something to be proportional, there has to a constant ration of another quantity.
<h3>s³=l,b,h</h3><h3>so,</h3><h3>s³=125</h3>
![s = \sqrt[3]{125}](https://tex.z-dn.net/?f=s%20%3D%20%20%5Csqrt%5B3%5D%7B125%7D%20)
<h3>s=5 and height =5 cubes</h3><h3>hope it helps :-)</h3>