Question

find the surface area of the prism. round to the nearest hundredth if necessary, do not include units with your answer.

Explanation:

Step1: Calculate the areas of the three pairs of faces

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l = 7\), \(w = 4\), and \(h = 1\).
First, calculate \(lw\): \(lw=7\times4 = 28\).
Then, calculate \(lh\): \(lh=7\times1=7\).
Next, calculate \(wh\): \(wh = 4\times1=4\).

Step2: Substitute into the surface - area formula

\(S=2(28 + 7+4)\).
First, add the values inside the parentheses: \(28+7 + 4=39\).
Then, multiply by 2: \(S = 2\times39\).

Answer:

78