Please help, I tried solving this but I don't understand. The answer is supposed to be "The height of the pyramid is 3x greater than the height of the cube." Everytime I calculate this the cube is greater than the pyramid's height.

RainbowPanda
Apr 25, 2018

#1**+2 **

Volume of cube = S^3, where S = one side

V = 16^3 =4,096 mm^3 - volume of the cube

Volume of square pyramid =S^2 x h/3, where S=side, h=height

V =S^2 x h/3

4,096 =16^2 x h/3

4,096 = 256 x h/3 Divide both sides by 256

16 = h/3 Cross multiply

h = 48 mm - Height of the pyramid

48 / 16 =** 3x - higher is the square pyramid than the cube.**

Guest Apr 25, 2018