Respuesta :

The surface area of rectangular prism can be calculated using the following formula:

[tex]SA=2wl+2hl+2hw[/tex]

Where "w" is the width, "l" is the length and "h" is the height of the rectangular prism.

Observe the rectangular prism shown in the exercise. You can identify that:

[tex]\begin{gathered} l=26ft \\ w=20ft \\ h=32ft \end{gathered}[/tex]

Knowing these values, you can substitute them into the formula:

[tex]\begin{gathered} SA=2wl+2hl+2hw \\ SA=2(20ft)(26ft)+2(32ft)(26ft)+2(32ft)(20ft) \end{gathered}[/tex]

Finally, evaluating, you get that the surface area of the rectangular prism is:

[tex]\begin{gathered} SA=1,040ft^2+1,664ft^2+1,280ft^2 \\ SA=3,984ft^2 \end{gathered}[/tex]

The answer is: Option A.

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