Question

what is the surface area of the right rectangular prism below? 13 in 4 in. 6 in. a 1 0 in.² b 1 in.² c. 308 in.² d. 312 in.²

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height. Here, \(l = 6\) in, \(w = 4\) in, and \(h=13\) in.

Step2: Calculate each product inside the formula

• Calculate \(lw\): \(lw=6\times4 = 24\)
• Calculate \(lh\): \(lh = 6\times13=78\)
• Calculate \(wh\): \(wh=4\times13 = 52\)

Step3: Sum up the products and multiply by 2

First, sum up the products: \(lw+lh+wh=24 + 78+52=154\). Then multiply by 2: \(S=2\times154 = 308\)

Answer:

C. \(308\) in.\(^{2}\)