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Triangular Prism Volume Calculator

Calculate the volume of a regular triangular prism from its base edge and height. Base area, lateral area, and surface area are computed too.

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Input

Enter the base edge and the height to compute the volume, base area, lateral area, and surface area of a regular triangular prism.

Result

a = 6h = 10

Volume

155.884573

Base area

15.588457

Lateral area

180

Surface area

211.176915


Length uses the same unit as the input, while area is squared and volume is cubed.

How it works

  • This tool covers a regular triangular prism whose base is an equilateral triangle. Let a be the base edge and h be the height of the prism.
  • The base area is B equals square root of 3 divided by 4 times a squared, the area formula for an equilateral triangle.
  • The volume is V equals B times h equals square root of 3 divided by 4 times a squared times h.
  • The lateral area is L equals 3 times a times h, the three equal rectangular sides.
  • The surface area is S equals 2B plus L, the two bases plus the lateral faces.
  • Length uses the same unit as the input, while area is squared and volume is cubed.

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