Q:

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

A:

The formula for the surface area of a triangular prism is SA = bh + (s1 + s2 + s3)H. In this formula, "b" is the triangle base, "h" is the triangle height, "s1," "s2" and "s3" are the three triangle sides, and "H" is the length of the prism.

A triangular prism can be thought of as two triangles and three quadrilaterals, so finding the total surface area involves finding the area of each of the five shapes and adding them together.

The area of a triangle is one half of the base multiplied by the height. The area of a quadrilateral is the base multiplied by the height.

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The faces of a triangular prism are parallelograms while the two bases are triangles. This gives the prism three faces. In a regular prism, the faces are rectangles. However, some prisms lean to one side and are oblique.

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The formula is the length of the prism times the area of the trapezoid, which is one-half times (a+b) times the height; the area is also called the cross-sectional area. "A" and "B" are the two bases of the trapezoid. The bases are the sides that run parallel to one another, which means they never touch.