Hello, Tom!
1) An excavation for a farm dam is 30m long and 25m wide at ground level.
The sides slope down to a base that is 20m long and 10m wide.
The bottom of the dam is 3m below ground level.
Use the trapezodial rule with 5 sections to find an approximation for the volume. If I interpret the problem correctly, the hole looks this this: Code:
B *-------------------* C
* *
* *
* + * 20
* : *
* : *
A *-------------------* D
30 :
: 3
B'*---:-----------*C'
* : *
* + * 10
* *
A'*---------------*D'
20
There is a horizontal 30 × 20 rectangle
at the top.
There is a horizontal 20 × 10 rectangle
at the bottom.
The perpendicular distance between the rectangles is 3 m.
Draw
.
We have a frustum of a rectangular pyramid.
Can you finish it now?