Volume of quadrangular prism = base area × height = 37. Find the area of cube which has same volume as that of this prism. If the base length, width, height of a quadrangular prism are 37.5 cm, 18 cm, 40 cm respectively. Lateral surface area of equilateral trian-gular prism = Base perimeter × Heightīase area of equilateral triangular prism = \(\frac \) = 14 cm Step 2: Substitute the given values in the formula V B × H where 'V', 'B', and 'H' are the volume, base area, and height of the prism. What is its total surface area?īase perimeter of equilateral triangular prism = 12 cm The steps to determine the base area of the prism, if the volume of the prism is given, are: Step 1: Write the given dimensions of the prism. The base of a prism is an equilateral triangle of perimeter 12 centimetres and its height is 5 centimetres. All the other cases can be calculated with our triangular prism calculator.A water trough is in the shape of a prism has trapezoidal faces Question 1. 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). 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) 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.
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