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To find the surface area, the surface area of each rectangular side and the surface areas of the two triangular ends must be calculated. Given an equilateral triangular prism of height X and sides Y, each side has a surface area of X * Y. The end triangles are solved by using the Pythagorean theorem (a^2 + b^2 = c^2). In this case, a and c are known as Y and Y/2, so b= square root (Y^2 - (Y/2)^2). The area of a triangle is 1/2(base * height), where the base is Y and the height is b. The total surface area is then 3 * (X * Y) + 2 * ( 1/2 * (Y * (Y^2 - (Y/2)^2))).

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Q: Equilateral triangular prism surface area formula?
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Related questions

How do you find the surface area of an equilateral triangular prism?

To find the surface area of an equilateral triangular prism you take the area of the rectangular sides and the triangular bases and add them up and your done.


How do you calculate the surface area of an equalaterial trinuglar based prism?

To calculate the surface area of the equilateral triangular-based prism, you need to calculate the area of the equilateral triangle and all the other sides of the prism. The total area of all the phases will give the total surface are of an equilateral triangular based prism.


Are the two bases on a triangular prism equilateral triangles?

They can be, but they don't have to be equilateral to be a triangular prism.


What is the formula for finding the total surface area of a triangular prism?

Assume that a = apothem length of the triangular prism, b = base length of the triangular prism, and h = height of the triangular prism. The formulas to find the surface area is SA = ab + 3bh.


What is the formula of a triangular prism?

What is the formula for a triangular prism


How do you you find the surface area of a equilateral triangular prism?

you calculate the area of one side, then multiply it by three.


What is the surface area of one side of a triangular 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.


What is the formula of surface area of the prism triangular?

2*area of triangular base + perimeter of triangle*length of prism.


How many congruent faces are on a triangular prism?

The minimum numbers of congruent faces are as follows: On an equilateral triangular prism: one pair of triangles On a right equilateral triangular prism: one pair of triangles and one triplet of rectangles.


What is the surface area of a triangular prism formula?

Whatever the net, the answer is the same area as that of the net.


What is surface area for triangular prism formula?

bh(s1+s2+s3)h


Formula for surface area of a triangular prism?

A triangular prism is a three-sided prism with three faces joining corresponding sides. The formula for its surface area is SA = wh + lw + lh + ls, where l=length, h=height, w=width and s=side.