what is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18cm? A. 5832cm^3 B. 2916cm^3 C. 1944cm^3 D. 972cm^3 HEL PLEASE ASAP

Option choice C: 1944 cm^3

Step-by-step explanation:

First calculate the volume of the square, because the pyramid has to have a smaller volume then the square.  

squares volume> pyramids volume

Volume of the cube = 16^3 = 4096 cm^3

Anwser choice A is greater then the volume of the cube (5832 cm^3>4096 cm^3) and so we know it is not anwser choice A.

Next we are going to calculate the volume of a square pyramid with height=18, and side=18

Volume = 1/3 a^2h

a (base edge)= 18

a (height)= 18

V= (1/3)x(18^2)x(18)

V= 1944 Feet squared

This means that the max volume of the square pyramid is 1944 feet squared!

Option choice C: 1944 cm^3

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

a

step-by-step explanation: