The volume of a square pyramid is equal to _____ times the volume of a cube where the bases are the same, but the square pyramid is half the height of the cube.

Answer 1

its is equal to 2 times the volume because the square pyramid is HALF the height of the cube.
Next time, read the question a little more carefully, because the answer is in the question.

Answer 2

but that's not a choice.
A. 1/6
B. 1/3
C. 3
D. 6

Answer 3

cube: v = Bh
pyramid: 1/3 B(h/2) = 1/6 Bh

So, (A)

Answer 4

let the base of the pyramid and the cube be x by x
let the height of the pyramid be h
then the height of the cube is 2h

volume of pyramid = (1/3)x^2 h = (2/3)h x^2
volume of cube = x^2 (2h) = 2h x^2

ratio of cube : pyramid
= 2hx^2 : (2/3hx^2
= 2: 2/3
= 6:2
= 3:1

so it is 3 times as much, which is choice C

Answer 5

messed up my typing
don't know why my 1/3 suddenly became 2/3

Answer 6

How does the volume of a rectangular prism change if the width is reduced to 2004-06-01-04-00_files/i0280000.jpg of its original size, the height is reduced to 2004-06-01-04-00_files/i0280001.jpg of its original size, and the length is reduced to 2004-06-01-04-00_files/i0280002.jpg of its original size?