The fact that it's a prism has nothing to do with the area of the base. See the attached Related Link for your formula.
surface area prism = 2 × area end + total area side = 2 × area end + perimeter end × length of prism The information given to you will allow you to work out the area of one pentagonal end, and the perimeter of the pentagonal end.
1/2*p*w^2*l
In general, the formula for the volume of a prism is (if the prism is standing on its end, so that all the vertical sides are rectangles), the area of the base times the height. Now, the area of the base depends upon the shape of the base. It could be triangular. It could be rectangular. It could be trapezoidal. It could be pentagonal, hexagonal, octagonal, etc. If you were more specific about what kind of prism it was (i.e., the shape of the base), I might be able to provide a more precise formula. But, with what you gave me to work with, the best I can do is the area of the base times the height.
The formula is Bxh where B is the base which is the area of the triangle and h is the height of the prism.
It depends on the size of the triangular prism, but depending on the side of the prism you use the triangle area formula to find it or the rectangle area formula to find it.
Volume = (base area) x height.
Area of pentagon * length of prism.
surface area prism = 2 × area end + total area side = 2 × area end + perimeter end × length of prism The information given to you will allow you to work out the area of one pentagonal end, and the perimeter of the pentagonal end.
It depends on the prism. Is it a triangular prism, a rectangular prism, a pentagonal prism... etc..
Volume = area of pentagon x length of prism.
Area of Base x Height
The cross section area times the height (or length depending on how you look at it). What is the area of the pentagon? how high/long is the prism?
There is no single formula. The answer depends on what the formula is for: the volume, surface area, numbers of faces, edges, vertices and so on. And since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
1/2*p*w^2*l
In general, the formula for the volume of a prism is (if the prism is standing on its end, so that all the vertical sides are rectangles), the area of the base times the height. Now, the area of the base depends upon the shape of the base. It could be triangular. It could be rectangular. It could be trapezoidal. It could be pentagonal, hexagonal, octagonal, etc. If you were more specific about what kind of prism it was (i.e., the shape of the base), I might be able to provide a more precise formula. But, with what you gave me to work with, the best I can do is the area of the base times the height.
There is insufficient information to give an answer. There is no information to indicate that the pentagon is regular and therefore its area is indeterminate. Consequently, the volume of the prism cannot be determined.
Answer: A=5t2 /4 (tan 54)Explanation----The base of a pentagonal prism is a pentagon. To find that area, we start with the general area of a regular polygon. Let abe the apothem and P be the perimeter of the polygon. The area, A=1/2PaNow let t be the length of any side of the pentagon and substitute in for the apothem and we have:A=1/2 x 5t x t/2(tan 54)or A=5t2 /4 (tan 54)