Explanation:
The shape comprises of a rectangular based pyramid mounted on a rectangular prism
Step 1:
The number of faces on a rectangular based pyramid is
[tex]\begin{gathered} 5 \\ excluding\text{ }the\text{ }base,we\text{ }will\text{ }have \\ 4\text{ }triangular\text{ }faces \end{gathered}[/tex]
Step 2:
The number of faces on a rectangular prism is
[tex]\begin{gathered} 6 \\ excluding\text{ the top shared with the pramid, we will have} \\ 5 \end{gathered}[/tex]
Hence,
The total number of faces in the shape will be calculated below as
[tex]\begin{gathered} faces=4+5 \\ faces=9 \end{gathered}[/tex]
Hence,
The final answer is
[tex]9[/tex]
OPTION C is the correct answer
