Answer:
[tex]250\ cm^3[/tex]
Step-by-step explanation:
A rectangular prism has
The volume of the prism is
[tex]V_{prism}=A_{base}\cdot H,\\ \\V=5^2\cdot 12=25\cdot 12=300\ cm^3[/tex]
A pyramid with has
The volume of the pyramid is
[tex]V_{pyramid}=\dfrac{1}{3}\cdot A_{base}\cdot h,\\ \\h=\dfrac{H}{2}=\dfrac{12}{2}=6\ cm,\\ \\V_{pyramid}=\dfrac{1}{3}\cdot 5^2\cdot 6=\dfrac{1}{3}\cdot 25\cdot 6=50\ cm^3[/tex]
The volume of the space outside the pyramid but inside the prism is
[tex]V=V_{prism}-V_{pyramid}=300-50=250\ cm^3[/tex]
