Question

a right rectangular prism has a length of 6 inches, a width of 5 inches, and a height of 8 inches. what is the surface area, in square inches, of the prism?

a 19

b 38

c 118

d 236

Explanation:

Step1: Recall the surface area formula for 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.

Step2: Substitute the given values into the formula

Given \(l = 6\), \(w = 5\), and \(h=8\).
First, calculate \(lw\): \(lw=6\times5 = 30\).
Then, calculate \(lh\): \(lh = 6\times8=48\).
Next, calculate \(wh\): \(wh=5\times8 = 40\).
Then find \(lw+lh+wh\): \(30 + 48+40=118\).
Finally, multiply by 2: \(S=2\times118\).

Answer:

D. 236