Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where 
and 
are 2 legs of the triangle, and 
is the hypotenuse, aka the longest side of any triangle:
We know and and want
Therefore, is approximately 
We find the area of the total square which is 8in • 8in=64in^2 . Now we find the area of the small quadrilateral which is 4in•4in=16 in^2.
Now we subtract the area of the small quadrilateral from the big quadrilateral’s area 64in^2 -16in^2 leaving us with the are of 48in^2 of the figure
"A scale factor is a number which scales, or multiplies, some quantity. ... In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor." (not my wording but i hope this helps)
Answer:
Step-by-step explanation:
Volume of the cube = s^3
s = 9cm
V = 9 * 9 * 9
V = 729 cm^3
d = mass / volume
d = 3645 / 729
d = 5 grams / cm^3
