Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 7 m 9 m 3 m

Explanation:

Step1: Identify the formula for surface - area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism with length \(l\), width \(w\), and height \(h\) is \(S = 2(lw+lh + wh)\).

Step2: Substitute the given values

Here, \(l = 9m\), \(w = 3m\), and \(h = 7m\). So, \(S=2((9\times3)+(9\times7)+(3\times7))\).
First, calculate the products inside the parentheses: \(9\times3 = 27\), \(9\times7=63\), \(3\times7 = 21\).
Then, \(S=2(27 + 63+21)\).
Next, add the numbers inside the parentheses: \(27+63 + 21=111\).
Finally, \(S = 2\times111=222m^{2}\).

Answer:

\(222m^{2}\)