Question

select the correct answer from each drop - down menu. complete the statements about these similar pyramids. pyramid a pyramid b the ratio of the heights is the ratio of the base areas is the ratio of the volumes is

Explanation:

Step1: Find height - ratio

The ratio of the heights of similar pyramids is the ratio of their corresponding linear dimensions. So, $\frac{15}{5}=3:1$.

Step2: Find base - area ratio

For similar solids, if the ratio of linear dimensions is $a:b$, the ratio of base - areas is $a^{2}:b^{2}$. So, $3^{2}:1^{2}=9:1$.

Step3: Find volume - ratio

For similar solids, if the ratio of linear dimensions is $a:b$, the ratio of volumes is $a^{3}:b^{3}$. So, $3^{3}:1^{3}=27:1$.

Answer:

The ratio of the heights is 3:1.
The ratio of the base areas is 9:1.
The ratio of the volumes is 27:1.