SOLUTION: A frustum of a pyramid with 5 sides as its base has base edges measuring 37 cm and 9 cm. Determine the volume of the frustum if its height measures 35 cm. Express answers in cubic

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Question 1009845: A frustum of a pyramid with 5 sides as its base has base edges measuring 37 cm and 9 cm. Determine the volume of the frustum if its height measures 35 cm. Express answers in cubic cm and using two decimal places.
I need this now please
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The way I interpret the problem, I think your frustum looks like this(viewed from above):

Here is a front view, showing the cone that frustum was made from:

The triangles representing the front face of the pyramids in the from view picture are similar,
so their length measurements area proportional.
So %28h-35%29%2F9=h%2F37
37%28h-35%29=9h
37h-1295=9h
37h-9h=1295
28h=1295
h=1295%2F28-->h=46.25-->h-35=11.25
Now we can calculate
the volume of the large pyramid with a height of 46.25cm,
the volume of the small pyramid with a height of 11.25cm,
and the volume of the frustum (the difference between the volumes of those two pyramids.
The volume of a pyramid can be calculated as
V=%281%2F3%29%2Abase_area%2Aheight .
The area of a pentagon can be calculated as
area=%281%2F4%29side%5E2%2A5%2Atan%2854%5Eo%29=approximately1.72%2Aside%5E2 .
So the approximate volume of the smaller pyramid, in cubic cm is
V%5Btop%5D=%281%2F3%29%2A1.75%2A9%5E2%2A11.25=522.45
The approximate volume of the larger pyramid can be calculated similarly to be 36301.32 cubic centimeters.
Then the approximate volume of the frustum, in cubic cm is
36301.32-522.45=35778.87 .
Because the 1.72 is not the exact value of the irrational quantity 5%2Atan%2854%5Eo%29%2F4 ,
35800cm%5E3 or 3.58%2A10%5E4cm%5E3 would be a more reasonable answer.