How to Find the Surface Area of a Triangular Prism: Try This Easy Method!Jun 19, 2020 02:40 PM Photo by onlinemath4all.com
Tripboba.com - Do you know how to find the surface area of a triangular prism? A prism is a 3D shape with two parallel and congruent bases. There are also 3 diagonal sides of a triangular prism. To know how to find the surface area of a triangular prism, you have to find the area of the lateral faces, then find the area of the feet.
Finally, to reach the overall surface area, you need to connect those two areas. These steps on how to find the surface area of a triangular prism are represented by the formula surface area=L+2B, where L equals the lateral area of the prism, and B equals the area of one base.
So, are you ready to know how to find the surface area of a triangular prism? Let’s move to the easy method on how to find the surface area of a triangular prism we have compiled for you!
Part 1. How to Find the Lateral Area of a Triangular Prism
Write down the formula for defining a triangular prism's lateral portion. The formula is L = Ph, where L is equal to the prism's lateral area, P is equal to the diameter of one blade, and H is equal to prism height.
Calculate one element perimeter. The center is a rectangle, and it has three sides of it. The perimeter area of a triangle is Perimeter = a+b+c, where the length of each side of the triangle is a, b, and c. What basis you use to measure doesn't matter, since the two bases of a prism are congruent.
For example, to measure the diameter, if the base has three sides measuring 6 cm, 5 cm, and 4 cm, you should sum up all three sides: 6 + 5 + 4=15. So, one base diameter is 15 cm.
Move the perimeter into the formula for the lateral formula. Make sure you replace the variable P in the formula.
Insert the height of the prism into the formula for the lateral area. Prism height is the same as the side length of every lateral face which is not attached to the base. This would usually (but not always) be the longer side of the lateral hand.
Multiply the height of the prism by the diameter of the base. The outcome would show you the lateral surface area of the prism, in square units. It is the first value you need to calculate the prism's overall surface area, so put it value aside when measuring the base area.
Part 2. How to Find the Surface Area of a Triangular Prism by Finding the Area of the Base
Set the formula for the triangle area. Because the bases of a triangular prism are triangles, this equation will be used to measure their dimension. The formula for triangle area is A= 1⁄2 bh, where A is equal to triangle area, b is equal to triangle base, and his equal to triangle height.
Connect the triangle basis into the formula. Should not move the base on a different side of the triangle. The foundation is the perpendicular lateral to the height.
In the formula add the height of the triangle. Multiply by the height of the base. Take half the interest, then. This will show you the base area, in units of the square. That is the second value you need to measure the prism's total surface area.
Part 3. How to Find the Surface Area of a Triangular Prism
Develop the formula for finding a prism's surface area. The formula is SA = L+2B, where SA is equal to the prism point, L is equal to the prism lateral area, and B is equal to the one base area.
Plug in the formula to the lateral field. That is the surface area of the prism on both sides and is not the base. This would have been measured beforehand. Make sure the lateral region is replaced with the vector L.
Put one base field into the formula. Be sure you just use the one base area, not the cumulative total area of both bases. Replace the base region with Vector B.
Fill in the equations. Multiply the base area by 2 and then add the lateral area. That will show you the total area of your triangular prism, in square units.
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