A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle. To find the volume of a prism (it doesn’t matter if it is rectangular or triangular), we multiply the area of the base, called the base area B, by the height h. How do you find the volume of a prism and a cylinder?.How to find the surface area of Rectangular Prisms:įind the area of two sides (Length*Height)*2 sides.įind the area of adjacent sides (Width*Height)*2 sides.įind the area of ends (Length*Width)*2 ends.Īdd the three areas together to find the surface area. How do you find the surface area of a prism?.For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. To find the area of a triangle, multiply the base by the height and then divide by 2. How do you measure the surface area of a triangle?.The answer is the surface area of the above triangular prism is 486 square inches. Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement. How do you find the base area of a triangular prism?įirst, substitute the given values into the formula.All the other cases can be calculated with our triangular prism calculator. Step 3: Use the Surface area formula for a triangular prism. 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). Step 2: Convert the units into the same measurement, if required. 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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