Question:A prism has an equilateral triangular base with a perimeter of 12cm. If the length of the prism is 24cm, determine the total surface area of the prism.hint: What is the area of 1 triangle?I have draw a diagram and tried a few methods to figure out the area of 1 triangle, but it just doesn't seem to work.Any help would be appreciated.

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Question:A prism has an equilateral triangular base with a perimeter of 12cm. If the length of the prism is 24cm, determine the total surface area of the prism.hint: What is the area of 1 triangle?I have draw a diagram and tried a few methods to figure out the area of 1 triangle, but it just doesn&#039;t seem to work.Any help would be appreciated.

cestdugateauhcorr · Accepted Answer

The length of an arete of an equilateral triangle with a perimeter of 12 is   a  =  4. Let us determine the height   h of a triangle : it is given by the trigonometric relation  h  =  a  sin  ⁡      (          π      3        )    =  a            3        2  since the angles of an equilateral triangle are all       π    3  . So the area of 1 triangle is  A  =            a      h        2    =      a          2                  3        4    =  4      3    .Now the total surface area of the prism is the sum of 2 such triangle areas and the 3 surfaces of the lateral faces.

eyizibulo2gn3c · Accepted Answer

Divide the problem in simpler tasks:1. Look the a triangular prism is made.2. You can observe that its surface is made of 3 rectangles and 2 triangles.3. Make questions about data you have in order to solve the problem:4. What is the total surface given 3 rectangles and 2 triangles? The sum of their surfaces!5. What is the surface of a generic rectangle? Base ⋅ height6. What is the surface of a generic triangle? Also Base ⋅ height7. How can I calculate it? Pythagorean theorem. The height of a triangle intersects the base in the middle. So the height =             side      2        −    (          side      2              )      2      8. So the remaining part of the remaining part of the problem is to put all data together...the part that I leave to you

Question: A prism has an equilateral triangular base with a perimeter of 12cm. If the length of th

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