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)   (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




-->-->
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
.
The area of a pentagon can be calculated as
.
So the approximate volume of the smaller pyramid, in cubic cm is

The approximate volume of the larger pyramid can be calculated similarly to be cubic centimeters.
Then the approximate volume of the frustum, in cubic cm is
.
Because the is not the exact value of the irrational quantity ,
or would be a more reasonable answer.
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