![]() Kern, James R Bland,Solid Mensuration with proofs, 1938, p.81' for the name truncated prism, but I cannot find this book. (I integrated the area of the horizontal cross-sections after passing the first intersection with the hyperplane at height $h_1$ these cross-sections have the form of the base triangle minus a quadratically increasing triangle, then after crossing the first intersection at height $h_2$ they have the form of a quadratically shrinking triangle)ĭo you know of an elegant proof of the volume formula? I was also able to prove this formula myself, but with a really nasty proof. (where $A$ is the area of the triangle base) online, but without proof. ![]() ![]() The measurements on this triangular prism are in cm so the volume will be measured in cm3 cm3. 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 $h_1, h_2, h_3$. A triangular prism is a three-dimensional geometric shape that has two congruent, parallel triangular bases and three rectangular faces connecting the bases. The formula for the volume of a prism is VBh, where B is the base area and h is the height. Volume of triangular prism 3×7 3 × 7 Volume of triangular prism 21 21 4 Write the answer, including the units.
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