To answer this question, we need to know that the topmost point of the pyramid is at the center of the cube. The center of the cube is given by half of the sides of the cube.
Then, we have that the height of the pyramid is:
![h_{\text{pyramid}}=(1)/(2)H\Rightarrow h_(pyramid)=(1)/(2)\cdot14\operatorname{cm}=7\operatorname{cm}]()
Then, we have that the volume of the pyramid is:
The base of the pyramid is a square of side equal to 14 cm, then, the area of the base is:
![B=s^2=(14\operatorname{cm})^2=196\operatorname{cm}^2]()
Therefore, we have:
![V_{\text{pyramid}}=(1)/(3)\cdot B\cdot h=(1)/(3)\cdot196\operatorname{cm}\cdot7\operatorname{cm}=457.333333333\operatorname{cm}\approx457.3\operatorname{cm}^3]()
Hence, the volume of the square pyramid is equal to 457.3 cubic cm.