84.8k views
1 vote
Find surface area of the following figure.A. 3,984B. 4,398C. 3,668D. 2,890

Find surface area of the following figure.A. 3,984B. 4,398C. 3,668D. 2,890-example-1
User Drzax
by
3.5k points

1 Answer

2 votes

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


SA=2wl+2hl+2hw

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:


\begin{gathered} l=26ft \\ w=20ft \\ h=32ft \end{gathered}

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


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

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


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

The answer is: Option A.

User David Culp
by
3.5k points