![]() It works for right prisms and oblique prisms. If you had an oblique prism, as long as you know the height, and you can calculate its base area, that will be the same. So this way, this formula volume, equals base area times height, can be applied to any kind of prism. If you had, let's say, a regular hexagon, you're going to use apothem times side length times the number of sides, divided by two. And that's how you would calculate your base area. So if this was a trapezoid, then you would substitute in B1 plus B2 times H, all divided by two. So whatever your base area is, and I guess I should write base area, you're going to substitute in that formula. This formula will work no matter what kind of prism you have. A right triangular prism has rectangular sides, otherwise it is oblique. So the reason why this formula is useful is because you might have a triangular prism, a trapezoidal prism, a hexagonal prism. Trapezoidal Prism Volume Calculator In geometry, a triangular prism is a three-sided prism it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. Where capital B is your base area and capital H is the height of the prism. I needed to find the volume of what Wikipedia calls a truncated prism, which is a prism (with triangle base) that is intersected with a halfspace such that the boundary of the halfspace intersects the three vertical edges of the prism at heights h 1, h 2, h 3. So when I write my volume formula, I'm going to say the volume, "V" of this prism, is equal to its base area times its capital H, its height. ![]() ![]() So I'm going to shade in our bottom base here, and I'm going to label this as capital B. If you want to calculate the volume of any prism, there is only two things that you need to know: One, what is the height of that prism, and two what is the area of one of your bases.
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