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123F
The volume of a square based pyramid is 81 cubic meters. What is the volume of the cube with the same side length and height? A)9m3 B)27m3 C)243m3 D)729m3 moderator help
the volume of the base?
The volume of "a square based pyramid" is 81 cubic meters. What is the volume of "the cube" with the same side length and height? thats better
the volume of any pointy shape is: (1/3) (base area) (height) to wit; 81 = (1/3) (base area) (h) ; multiply thru by 3 3(81) = s^2 * h ; s^2 refers to the square base area, divide out the h. 243/h = s^2 ; now square root each part sqrt(243/h) = s
hmmm, prolly still not reading it correctly; cube tends to mean a shape with sides and height being equal, but this might mean a cube like shape in general
if height = side length we get sqrt(243/s) = s 243/s = s^2 243 = s^3 s = cbrt(243) .... might be a better interpretation but its hard to tell with the way it is written
the volume would then be cbrt(243)^3 = 243m^3 which is prolly the right answer