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123F

  • 4 years ago

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

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  1. amistre64
    • 4 years ago
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    the volume of the base?

  2. amistre64
    • 4 years ago
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    read it wrong

  3. 123F
    • 4 years ago
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    what

  4. amistre64
    • 4 years ago
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    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

  5. 123F
    • 4 years ago
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    thank you ;)

  6. amistre64
    • 4 years ago
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    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

  7. 123F
    • 4 years ago
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    so C)243m3

  8. amistre64
    • 4 years ago
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    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

  9. amistre64
    • 4 years ago
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    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

  10. amistre64
    • 4 years ago
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    the volume would then be cbrt(243)^3 = 243m^3 which is prolly the right answer

  11. 123F
    • 4 years ago
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    so C)243m3

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