Answer: Choice B)
The points A, C and D form a triangle which is the front face you see in the pyramid. Point F is not on this triangle at all. Point F is towards the back at the base of the pyramid away from this front face. So we consider A,C,D,F collectively as a whole to be not coplanar. If we ignored the point F, then we can say that A,C,D are coplanar.
Use the z-score:
112 - 100
For 112, the z-score is --------------- = 12/15, or 0.8.
15
Next, find the AREA under the standard normal curve TO THE LEFT OF 0.8.
Use either a z-score table or a calculator for this purpose.
Using my calculator, I found that this area is 0.532. That places 112 in the 53rd percentile.
82 would be in a lower percentile: the 12th percentile.
Let me know if you have questions about how to use a calculator to do these calculations.
The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579) = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid = (.159)(1712) = 272.37
