Answer:
The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.
Step-by-step explanation:
Measurements in Similar Figures
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.
We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.
