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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.

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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