anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
the volume of the base?
amistre64
  • amistre64
read it wrong
anonymous
  • anonymous
what

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amistre64
  • amistre64
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
anonymous
  • anonymous
thank you ;)
amistre64
  • amistre64
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
anonymous
  • anonymous
so C)243m3
amistre64
  • amistre64
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
amistre64
  • amistre64
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
amistre64
  • amistre64
the volume would then be cbrt(243)^3 = 243m^3 which is prolly the right answer
anonymous
  • anonymous
so C)243m3

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