Everything about Triangular Prism totally explained
In
geometry, a
triangular prism or
three-sided prism is a type of
prism; it's a
polyhedron made of a
triangular base, a
translated copy, and 3 faces joining corresponding sides.
If the sides are squares, it's called a
uniform polyhedron. In general the sides can be congruent rectangles.
Equivalently, it's a
pentahedron of which two faces are parallel, while the
surface normals of the other three are in the same plane (which isn't necessarily parallel to the base planes). These three faces are
parallelograms. All cross-sections parallel to the base faces are the same triangle.
A right triangular prism is
semiregular if the base faces are equilateral
triangles, and the other three faces are
squares.
A general right triangular prism can have rectangular sides.
The
dual of a triangular prism is a 3-sided
bipyramid.
The
symmetry group of a right 3-sided prism with regular base is
D3h of order 12. The
rotation group is
D3 of order 6.
The symmetry group doesn't contain
inversion.
Trilon
A triangular prism on an axle can rotate electromechanically to show different letters or images, and this form has been used on
game shows and
billboards. This is often dubbed a "trilon".
The squares on the old
Concentration game board, first aired in 1958, may have been the first use. The game combined the
card game with a
rebus puzzle, which was gradually revealed as matches were made. As the show was an immediate replacement for the disgraced
Twenty-One, the network insisted on keeping the puzzle pieces under high security, attaching them only to the trilons as needed.
Trilons also showed the categories on the original
Pyramid series, the first-season
Street Smarts episodes, and the letter squares on the old
Wheel of Fortune letter board used trilons until 1997 and the wheel itself also used trilons until 2007. The entire game board on the original
Family Feud was a giant trilon through 1994, as was the board used in the Hidden Pictures rounds on the syndicated version of the Nickelodeon game show
Finders Keepers. The second rounds (Jailtime Challenges) of every
Where in the World Is Carmen Sandiego? episode featured 15 places of the location that the second round took place, represented by trilons. Trilons are still being used on
The Price is Right pricing games, such as
Barker's Bargain Bar.
Trilons were temperamental and labor-intensive, so were largely replaced by on-set television monitors, as on
Jeopardy!.
Trilons have been used in roadside
billboards. Many long, thin trilons are placed side-by-side in the frame, and periodically rotate simultaneously to cycle the billboard through three separate signs.
Volume
The volume of
any prism is the product of the area of the base and the distance between the two base faces. In this case the base is a
triangle so we simply need to
compute the area of the triangle and multiply this by the length of the prism:
b- Base h- Height l- Length
Further Information
Get more info on 'Triangular Prism'.
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