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The surface area of this three-dimensional figure is equal to 536.6 square centimeters.
<h3>How to determine the surface area?</h3>First of all, we would determine the total area of the three rectangles by using this formula:
Total area = 3 × Length × Width
Total area = 3 × 15 × 10
Total area = 450 cm².
Next, we would determine the total area of the two triangles by using this formula:
Total area = 2 × (1/2 × b × h)
Total area = b × h
Total area = 8.66 × 10
Total area = 86.6 cm².
Surface area = 450 + 86.6
Surface area = 536.6 cm².
Read more on rectangle here: brainly.com/question/25292087
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<u>The full question:</u>
<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?"</em>
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The permutation of choosing 3 members from a group of 11 would be:
P(n,r) =
Where n would be the total [in this case n is 11] & r would be 3
Which is:
P(11,3) =
So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:
1/990