1. ## Trapezodial question

I dont even know how to sketch this diagram, its so confusing. Could u please provide a diagram wif all the labels and working out. thanks so much^^ really need help asap, thanks, exam is tmrw

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.

2. 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 $ABCD$ at the top.

There is a horizontal 20 × 10 rectangle $A'B'C'D'$ at the bottom.

The perpendicular distance between the rectangles is 3 m.

Draw $AA',\:BB',\:CC',\:DD'$.

We have a frustum of a rectangular pyramid.

Can you finish it now?