The surface distance between 2 points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the 2 points. If a cube has edges of length 4 centimeters, what is the surface distance, in centimeters, between the lower left vertex on its front face and the upper right vertex on its back face?

9.66cm

Step-by-step explanation:

Given a cube, the Surface Distance between two points is defined as the length of the shortest path on the surface of the cube that joins the 2 points.

For a cube of length 4cm, we are to determine the surface distance between the lower left vertex on its front face and the upper right vertex on its back face.

In the produced diagram,

The shortest distance between A and C is the diagonal that joins point A to point C.

Using Pythagoras theorem,

Therefore, the shortest distance between A and point X

=|AC|+|CX|

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

1 1/5

step-by-step explanation: