Answer:
166.67 in³
Step-by-step explanation:
If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.
Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:
[tex]V=\frac{1}{3}*B*h[/tex]
Where B is the area of the square base:
[tex]V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3[/tex]
The volume of the square pyramid inside the cube is 166.67 in³.
