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Q:

# How many faces does a triangular prism have?

A:

A triangular prism has five faces, six vertices and nine edges. The face is the flat side of a solid figure, and it is typically in the form of a plane figure such as a rectangle, square or triangle, with the triangular prism having two triangular bases and three rectangular sides. Another type of prism is the rectangular prism, which has six rectangular faces, 12 vertices and eight edges.

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A triangular prism has both area and volume; it is therefore a type of pentahedron. The volume of a triangular prism is found by calculating the area of the triangular base using a = 1 / 2 (b * h), and multiplying the result with the length (l) of the rectangular sides. The base of a prism is typically used to identify the type of prism, with the triangular prism being named after its triangular base.

Other prisms such as the rectangular prism, the square prism and the pentagonal prism are all named according to the shapes of their bases. The number of faces that a prism has is easily determined by counting the number of sides of its base and then adding 2, which is typically represented using the formula n + 2.

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## Related Questions

• A:

A triangular pyramid has three lateral faces and a triangular base. The construction of a pyramid requires a polygonal base with triangular lateral faces that meet at a common vertex.

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A hexagonal prism has eight faces, six of which are rectangles, and two of which are hexagons. A hexagonal prism consists of a top and bottom hexagon that are both joined by straight lines connecting each set of vertices.

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A pentagonal prism has five lateral faces and two pentagonal bases, which equal seven faces. A prism has two congruent polygons that form the top and bottom of the shape. These polygons are referred to as bases. The remaining sides are referred to as lateral faces.