posted by Brett on .
We have a triangular prism that has the following characteristics. It has a volume of 360 cubic inches. The base of the triangle is twice the height of the triangle. The difference between the height of the prism and the height of the triangle is 4 inches. The height of the prism is 10 inches. Need help finding the dimensions of this triangular prism.
Is the triangular cross section equilateral? It is for most triangular prisms.
If the triangle is equilateral, it seems to me they have provided too much information. If it is scalene, there is not enough information.
You know that the length or "height" of the prism is 10 inches and the triangle height is 6 inches (or 14 inches). The triangle cross section is 360/10 = 36 square inches. The base of the triangle is
2(Area)/(triangle height) = 72/6 = 16 in.