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:
Considering area 1 and volume 1 for the larger solid, and area 2 and volume 2 for the smaller solid, substituting the values give:
By solving the above equation, the area of the smaller solid is found as 214 square meters. Thus, option B is correct.
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The character trait that defines the boy in Casabianca is: <u>his loyalty.</u>
Casabianca is the name of the young boy who is one of the major character sin "Casabianca".
In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.
In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).
Therefore, the character trait that defines the boy in Casabianca is: <u>his loyalty.</u>
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The volume of the prism is the amount of space on the prism
The volume of the cylinder is 760 cubic units
<h3>How to determine the volume?</h3>
The question is incomplete.
So, we make use of the following parameters
- Shape = Cylinder
- Radius, r = 11
- Height, h = 2.
The volume of a cylinder is calculated using:
V = πr²h
Substitute known values in the above formula
V = 3.14 * 11² * 2
Evaluate the product
V = 759.88
Approximate
V = 760
Using the assumed values, the volume of the cylinder is 760 cubic units
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The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
<u>Step 1 : </u>
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
<u>Step 2 :</u>
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
<u>Step 3: </u>
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and<em> </em><u><em>45 rooms</em></u><u><em> occupied by both </em></u><u><em>German and Italian relatives</em></u><u><em> </em></u>and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
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