use the formula.
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Type your answer hereThe surface area of a prism is square root of 3* a 2 /4 + 3*a*h where a is edge of equilateral triangle and h is height of prism
Sketch a net of the prism and and work out the area of each individual piece and then add them together
The lateral area of a prism is the sum of the areas of all the lateral faces. A lateral face is not a base. The surface area is the total area of all faces.Lateral Area: The lateral area of a right prism with base perimeter P and height h is L=Ph.Surface Area: The surface area of a right prism with lateral area L and base area is B is S = L + 2B, or S = Ph + 2B.
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.
To work out the area of the rectangular faces, you need to multiply the length by the width. You then need to multiply that answer by 3 (because there are 3 rectangular faces).To work out the area of the triangular faces, multiply the base of the triangle by the height and divide the answer by 2 (to find the area of one triangle). You then need to multiply it by 2 again because there are 2 triangular faces.Important: The height of a triangle is the distance from the top corner of the triangle down to the base (so that it meets the base at 90 degrees)You then need to add the total surface area of the rectangular faces to the surface area of the triangular faces to get the total surface area of the entire prism.(sorry for the essay :])