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how to find height in a triangular prism
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From Wikipedia
In geometry, a triangular prism is a threesided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
Equivalently, it is a pentahedron of which two faces are parallel, while the surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes). These three faces are parallelograms. All crosssections 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.
The dual of a triangular prism is a 3sided bipyramid.
The symmetry group of a right 3sided prism with triangular base is D_{3h} of order 12. The rotation group is D_{3}of order 6.
The symmetry group does not contain inversion.
It can be considered as a truncatedtrigonal hosohedron.
Volume
The volume of any prism is the product of the area of the base and the distance between the two bases. 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:
V = \frac{1}{2} bhl where b is the triangle base length, h is the triangle height, and l is the length between the triangles.
Related polyhedra
It is related to the following sequence of uniform truncated polyhedra.
From Yahoo Answers
Answers:Figure each side separately. Figure the base separately. add them together. Since there is a 90 angle, the base must be a Right angle. A of Right angle is bh 2 Sides appear to be scalene angles. So, side side Base: (10cm 6 cm) / 2 = 30cm Sides: (10cm 2cm)/2 = 10cm ...........,(6cm 2cm)/2 = 6cm ............(8cm 2cm)/2 = 8cm 30+10+6+8 = 54cm
Answers:letters in UPPER CASE are variables set for the BIG prism, while letters in LOWER CASE are variables set for the SMALL prism. volume of triangular prism = 1/3 * area of the base * height = 1/3 (1/2 ab) * height set ab as a constant K volume = 1/6 *K*height V=88; H=8 substituting, 88=1/6 * K * 8 K = 66 (sub this to get the small prism's vol) v=1/6 * 66 * 4 v=44
Answers:Triangular prism surface area = = 2 times area of a triangular end + end perimeter x prism height Area of the two ends = = 2 x 0.5 x base x height = 2 x 0.5 x 6 x 5.5 = 33 sq cms Perimeter of (isosceles) triangular end = = 2 times sloping side + triangle base Length of a sloping side = = Square root of (3^2 + 5.5^2) = Square root of 39.5 = 6.285 cm therefore: perimeter of triangular end = = 6.285 + 6.285 + 6 = 18.57 cm Area of prism sides = = perimeter x height = = 18.57 x 16 = 297.12 sq cm Total surface area of prism = = 33 + 297.12 = 330.12 sq cm
Answers:There are an infinite number of such. The larger the ends, the shorter the length. For example, if the triangle was 5 by 5 by 5* 2 then the length = 75/(5+5+5* 2) = 4.39334 cm