【Analysis】From the three views, we can see that the geometric body is a quadrilateral pyramid. We need to determine the base area and height, and then use the pyramid volume formula to solve.

【Solution】Solution: From the three views, we can see that the geometric body is a quadrilateral pyramid, with the base \(ABCD\) being a square with a side length of \(20 \, \text{cm}\), and \(OE \perp CD\) with \(E\) being the midpoint of \(CD\),

so the height of the pyramid \(OE = 20 \, \text{cm}\).
Therefore, the volume of the quadrilateral pyramid is
\[
\begin{array}{l}
\frac{1}{3} \times 20^{2} \times 20 \\
=\frac{1}{3} \times 400 \times 20 \\
=2666 \frac{2}{3} \left(\text{cm}^{3}\right).
\end{array}
\]

Answer: The volume of this geometric body is \(2666 \frac{2}{3} \, \text{cm}^{3}\).
So the answer is: \(2666 \frac{2}{3}\).
7. (10 points) Given the three views of a geometric solid as shown in the figure below, according to the dimensions marked in the figure (unit: centimeters), the volume of this geometric solid is $\qquad$ (cubic centimeters)


保留源文本的换行和格式，直接输出翻译结果如下：

7. (10 points) Given the three views of a geometric solid as shown in the figure below, according to the dimensions marked in the figure (unit: centimeters), the volume of this geometric solid is $\qquad$ (cubic centimeters)