Any and her family were traveling during vacation. She looked at her watch at point 1 in the diagram below,and then again at poi
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The <em>approximate surface</em> areas of corresponding prisms are listed below:
- <em>A = 108 units²</em>
- <em>A = 229 units²</em>
- <em>A = 454 units²</em>
The <em>surface</em> area of the each figure (), in square units, is equal to the sum of the <em>surface</em> area of the two bases (
), in square units, and the <em>surface</em> areas of the <em>lateral</em> sides (
), in square units. Since bases are <em>regular</em> polygons, <em>base surface</em> area can be determined by this expression:
(1)
Where:
- <em>l</em> - Side length, in units
- <em>n</em> - Number of sides
The area of one lateral side is expressed by this expression:
(2)
Where <em>h</em> is the height of the rectangle, in units.
The total surface area is defined by the following formula:
(3)
Now we proceed to calculate each surface area:
<h3>Case I (<em>A = 108.136 units²</em>
<h3>Case II (<em>A = 228.631 units²</em>
<h3>Case III (<em>A = 453.874 units²</em>
The <em>approximate surface</em> areas of corresponding prisms are listed below:
- <em>A = 108 units²</em>
- <em>A = 229 units²</em>
- <em>A = 454 units²</em>
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293