The length of his room is 10 feet the width is 14 feet and the height is 12 feet. All the other cases can be calculated with our triangular prism calculator.Trending Questions What geometric shape is the football field? What is the width of a rectangle with length 14 cm and area 161 cm2 show all the work? Cord of firewood? True or false trisecting a line segment requires a ruler and compass since a straight edge and compass will not be sufficient? (but not on the ceiling). The only case when we can't calculate triangular prism area is when the area of the triangular base and the length of the prism are given (do you know why? Think about it for a moment). The general formula to find the total surface area of a prism is: Total Surface Area (TSA) 2 × Base Area + Base Perimeter × Height, here, the height of a prism is the distance between the two bases. Using law of sines, we can find the two sides of the triangular base:Īrea = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2) The surface area is measured in square units such as m 2, cm 2, mm 2, or in 2. Triangular base: given two angles and a side between them (ASA) Using law of cosines, we can find the third triangle side:Īrea = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle) Triangular base: given two sides and the angle between them (SAS) However, we don't always have the three sides given. PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism. We know that the general formula for the total surface area of a right prism is T. where, a, b, c are sides of triangular base.
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