Answer :
linear dimensions will be in the ratio
12/18 = 2/3
areas (all of them) will have the ratio
4/9
volumes will have the ratio 8/27
12/18 = 2/3
areas (all of them) will have the ratio
4/9
volumes will have the ratio 8/27
The required ratios of the base areas, lateral areas, total areas, and volumes is 2:3, 4:9 and 8:27 respectively.
We have two similar pyramids have heights 12 and 18.
What is the Ratio?
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since, ratio of heights.
= 12/18
= 2/3
Here, pyramids are similar so,
Ratio of base
= 2/3
Ratio of the area
= (2/3)^2
= 4/9
Ratio of the area of base = Ratio of lateral areas ( because of the similar triangle ).
Ratio of the volume
= (2/3)^3
=8/27
Thus, the required ratios of the base areas, lateral areas, total areas, and volumes is 2:3, 4:9 and 8:27 respectively.
Learn more about ratio here:
brainly.com/question/13419413
#SPJ2
