The surface area of the smaller solid is found to be 214 square meters.
<h3>What is Surface area?</h3>
The surface area is given as the sum of the area of all the faces of a three-dimensional object.
The same shape has equivalent ratio of the surface area to volume. It is given as:
![\rm \dfrac{\sqrt{area_1}}{\sqrt{area_2}}=\dfrac{\sqrt[3]{Volume_1} }{\sqrt[3]{Volume_2} }](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B%5Csqrt%7Barea_1%7D%7D%7B%5Csqrt%7Barea_2%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7BVolume_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BVolume_2%7D%20%7D)
On considering the power of 6 at both the sides of the equation:
![\rm \dfrac{area_1^2}{area_2^2}=\dfrac{volume_1}{volume_2}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7Barea_1%5E2%7D%7Barea_2%5E2%7D%3D%5Cdfrac%7Bvolume_1%7D%7Bvolume_2%7D)
Considering area 1 and volume 1 for the larger solid, and area 2 and volume 2 for the smaller solid, substituting the values give:
![\rm\dfrac{(856\;m^2)^3}{(area_^2)^3}=\dfrac{(1680\;m^3)^2}{(210\;m^3)^2}](https://tex.z-dn.net/?f=%5Crm%5Cdfrac%7B%28856%5C%3Bm%5E2%29%5E3%7D%7B%28area_%5E2%29%5E3%7D%3D%5Cdfrac%7B%281680%5C%3Bm%5E3%29%5E2%7D%7B%28210%5C%3Bm%5E3%29%5E2%7D)
By solving the above equation, the area of the smaller solid is found as 214 square meters. Thus, option B is correct.
Learn more about volume, here:
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Yes it’s better to listen to the government because they have a higher power than you
Answer:
dont listen to the other person
Explanation:
The best description of Steffens' purpose in writing about government is:
- <u>B. to describe corruption in city and state governments</u>
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According to the quotation from Lincoln Steffen's The Shame of the Cities, we are told that the author feels that the shamelessness of the American people would cause the downfall of the "American pride".
As a result of this, the most likely purpose of writing this is to show the level of corruption which is prevalent in the city and state governments to spur the citizens to revolt against the corruption.
Therefore, the correct answer is option B
Read more here:
brainly.com/question/19292081