Question

How many faces are there?a. 6 b. 16 c. 9 d. 8

Answer 1

Step-by-step 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

`\begin{gathered} 5 \\ excluding\text{ }the\text{ }base,we\text{ }will\text{ }have \\ 4\text{ }triangular\text{ }faces \end{gathered}`

Step 2:

The number of faces on a rectangular prism is

`\begin{gathered} 6 \\ excluding\text{ the top shared with the pramid, we will have} \\ 5 \end{gathered}`

Hence,

The total number of faces in the shape will be calculated below as

`\begin{gathered} faces=4+5 \\ faces=9 \end{gathered}`

Hence,

The final answer is

`9`

OPTION C is the correct answer