Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression ( is the number of sides the polygon has):
For a 15-sided polygon, plug in 15 for n and simplify:
Multiply to solve:
For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of , the ratio of any surface area type measure is always
this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of
.
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of which if you simplify it, it is
, which is
. The ratio of the heights are
.
Now we can apply those rules to this ratio, the ratio of lateral areas would then be , which is
. the ratio of volumes would be
, which is