Question

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

Answer 1

the volume of the base?

Answer 2

read it wrong

Answer 3

what

Answer 4

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

Answer 5

thank you ;)

Answer 6

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

Answer 7

so C)243m3

Answer 8

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

Answer 9

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

Answer 10

the volume would then be cbrt(243)^3 = 243m^3 which is prolly the right answer

Answer 11

so C)243m3