The lateral area of a triangular prism is found by computing the perimeter of the triangular base (sum of the three sides) and multiplying it by the height of the prism.
If the triangular base has sides of length s1, s2, and s3, and the height of the prism is h, then each lateral face of the prism would be a rectangle. The area of one face of the prism would be (s1 x h), the area of the second face of the prism would be (s2 x h), and the area of the third face of the prism would be (s3 x h). So the three lateral faces would have a total area of (s1 x h) + (s2 x h) + (s3 x h), or equivalently (s1 + s2 + s3) x h; i.e., (the perimeter of the triangular base) x (the height of the prism).
Chat with our AI personalities
All you have to do is find the area divide it by the base and then you get the height.
Volume of a triangular prism = cross-section area times length
find the area of triangles(reflecting surfaces) and also the area of rectangle or square(base)and find the sum of both.
When you say surface of a prism this means the total amount of space on the outside of the prism. You have specified it to be a triangular prism, but taking the surface area of all prisms is the same process for all prisms. When finding the surface area of a prism you always use this equation... S.A. = (2 x Area of Prism Base) + (Height x Perimeter of Prism Base) In a triangular prism the base would be a triangle. Therefore to find the area you have to do 0.5 x base of the triangle x height of the triangle. For the perimeter of the triangle just add the length of all the sides together. The height indicated in your S.A. = ... formula... is how tall the prism actually stands. So since this prism is a triangular prism take the general surface area equation and put the correct triangular measurements into the general equation and you have this... S.A. = [2 x 0.5 x (height) x (base)] + [Height x perimeter] Here is the formula in word form. The surface area of a triangular prism is equal to two multiplied by one half multiplied by the height of the traingular height multiplied by the triangular base compute this number and then add it to the product of the height of the prism times the perimeter of the triangular base.
Well honey, to find the surface area of a triangular prism, you add the areas of all the individual faces. So, you calculate the area of the two triangular bases and the three rectangular sides, then add them all up. It's as simple as that, darling.