Question

an antique rectangular travel trunk that is 2 ft by 3 ft by 4 ft. what is the surface area?
a. 36ft³
b. 50ft³
c. 52ft³
d. 67ft³

Explanation:

Step1: Recall 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 into the formula

Given \(l = 4\) ft, \(w = 3\) ft, \(h = 2\) ft.
First, calculate \(lw\): \(4\times3=12\).
Then, calculate \(lh\): \(4\times2 = 8\).
Next, calculate \(wh\): \(3\times2=6\).
Now, \(lw+lh+wh=12 + 8+6=26\).
Then, \(S=2\times26\).

Step3: Calculate the final value

\(S = 52\) \(ft^{2}\).

Answer:

C. \(52ft^{2}\)