To find the volume of the larger pyramid, we need to find the ratio of their volumes first.
Since the ratio of the surface areas is 25:36, the ratio of the volumes will be the square of this ratio, which is (25^2):(36^2) = 625:1296.
Given that the volume of the first pyramid is 250m^3, we can set up a proportion to find the volume of the larger pyramid:
250m^3 / volume of larger pyramid = 1 / 1296
Cross multiply:
250m^3 = volume of larger pyramid * 1296
volume of larger pyramid = 250m^3 / 1296 = 0.193m^3
Therefore, the volume of the larger pyramid is 0.193m^3.
Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has a volume of 250m3.
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