To find: the volume of the monument.
The volume of the monument is .
The height of the monument is .
A horizontal cross section at a distance x meters from top is an equilateral triangle with side meters.
Draw the equilateral triangle as shown in Figure 1.
Refer to Figure 1.
Find the height of the equilateral triangle.
Find the area of triangle using the formula.
Here, b is breadth and h is height.
Substitute for b, and for h in Equation (1).
Find the volume of monument using the formula:
Substitute 0 for a, 20 for b, and for
Therefore, volume of the monument is .
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