![]() Various opinions about the origin have been brought forward. In the centre of the mine in the single zone of the most conspicuous parallel vein system a body of rock has been intersected that does not fit in the stratigraphical sequence. The Casapalca mining district in central Peru is a source of lead, zinc, silver and copper ores of the lepthothermal type. Evaluating this gives that the volume of this oblique rectangular prism is 34.56 cubic meters.The central alteration body of the Casapalca mines, Peru I’ve just included them so we can see the parts of the calculation that make up the base and the part that makes up the height. Now the brackets in this calculation are actually mathematically unnecessary. So we have that the volume is equal to 2.7 multiplied by four, for the area of the rectangular base, multiplied by 3.2. We calculate first the area of the rectangular base and then multiply it by the perpendicular height of 3.2 meters. What all of this means is that, in order to calculate the volume of this oblique rectangular prism, we can in fact treat it as if it were a right prism. ![]() This is an illustration of a principle called Cavalieri’s principle, which tells us that if two solids have the same height ℎ and the same cross-sectional area □ at every level, then they have the same volume. They also have the same volume as they’re identical coins. And they have the same perpendicular height. Both of these piles have the same cross-sectional area. In the other, the stack has been pushed slightly so that now it’s leaning to the side. In one pile, the coins are stacked directly on top of each other. But can we apply this formula to calculate the volume of an oblique prism? Well, in fact, we can. ![]() It’s equal to the base area □ multiplied by the perpendicular height ℎ. ![]() We know how to calculate the volume of a right prism. Find the volume of the given oblique rectangular prism.Īn oblique prism is one in which the bases are not vertically aligned. ![]()
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