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>
<h3>How to match given surface areas with given figures</h3>
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 (
,
,
)</h3>
<em>A = 108.136 units²</em>
<h3>Case II (
,
,
)</h3>
<em>A = 228.631 units²</em>
<h3>Case III (
,
,
)</h3>
<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
A conjecture is a statement that you believe to be true, and that has be verified by your observations, not necessarily exhaustively. That is to say, your conjecture may not even be true, although you believe that it is.
If we denote by S the sum of the first 30 positive even numbers, we could make many conjectures, such as:
S is even
S is positive,
S=930
S is composite
.... etc.
<h3><u><em>
Answer:</em></u></h3><h3><u><em>
The first one is -50.</em></u></h3><h3><u><em>
The second one is -18.</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3>
<u><em></em></u>
Divide both side by 2 ad you get x=80