Asked by Vanessa
The volume of two similar solids are125 in ^3 and 216 in ^3. The surface area of the larger solid is 288 in^2. What is the surface area of the smaller solid?
Answers
Answered by
mathhelper
The volumes of similar solids are proportional to the cube of their
corresponding sides
125 : 216 = s1^3 : s2^3
5^3 : 6^3 = s1^3 : s2^2
s1 : s2 = 5 : 6
the surface area of similar solids is proportional to the square of their
corresponding sides
a1 : a2 = 5^2 : 6^2 = 25 : 36
if a2 is the larger,
a1 : 288 = 25:36
a1 = 288(25)/36 = 200 <----- surface area of the smaller solid
corresponding sides
125 : 216 = s1^3 : s2^3
5^3 : 6^3 = s1^3 : s2^2
s1 : s2 = 5 : 6
the surface area of similar solids is proportional to the square of their
corresponding sides
a1 : a2 = 5^2 : 6^2 = 25 : 36
if a2 is the larger,
a1 : 288 = 25:36
a1 = 288(25)/36 = 200 <----- surface area of the smaller solid
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.