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.

Know More

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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## Related Questions

• A:

The volume of a prism is worked out by first calculating the area of the surface and then multiplying that figure by the length of the prism. This applies whatever the shape a prism takes.

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• A:

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.

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• A:

The Flatiron Building in New York City is an example of a triangular prism in real-life. This building is a well-known landmark that defines the skyline of Manhattan and was originally built as the headquarters of the Fuller Construction Company, nicknamed the Fuller Building. It was later nicknamed "Burnham's Folly" because people thought that Daniel Burnham's triangular design could not withstand strong winds. However, the building was a success.