Question

I need help I need the answer to this question

Answer 1

B. 1,308 m²

Step-by-step explanation

To find the total surface area, we have to find the area of each face of the prism and then add them all up.

The base and the top have the same measures and therefore, the same area,

`A_{\text{base}}=A_{\text{top}}=19m*16m=304m^2`

Also, the front and back faces have the same measure,

`A_{\text{front}}=A_{\text{back}}=19m*10m=190m^2`

And the left and right faces too,

`A_{\text{right}}=A_{\text{left}}=16m*10m=160m^2`

The total surface area is the sum of twice each of these areas,

`\begin{gathered} SA=2A_{\text{base}}+2A_{\text{front}}+2A_{\text{right}} \\ SA=2\cdot304cm^2+2\cdot190cm^2+2\cdot160cm^2 \end{gathered}`

Solve the products and add,

`SA=608cm^2+380cm^2+320cm^2=1,308cm^2`