Given:
Dimensions of the cube: 14 × 14 × 14
The height of the square pyramid: 24
To find:
The volume of the given solid.
Step-by-step solution:
We know that:
The volume of the cube = a³
The volume of the square pyramid = a² (h/3)
The Total volume of the figure = The volume of the cube + The volume of the square pyramid.
The Total volume of the figure = a³ + a² (h/3)
The Total volume of the figure = (14)³ + (14)² (24/3)
The Total volume of the figure = 2744 + 196 × 8
The Total volume of the figure = 2744 + 1568
The Total volume of the figure = 4312 cube units
Final answer:
Thus we can say that the final volume of the figure is 4312 cube units.