Question

if a rectangular prism has a length of 10 cm, width of 4 cm, and height of 5 cm, what is its surface area? a. 160 cm² b. 140 cm² c. 220 cm² d. 180 cm²

Explanation:

Step1: Recall the formula for surface area of rectangular prism

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

Step2: Substitute the given values into the formula

Given \(l = 10\) cm, \(w = 4\) cm, \(h = 5\) cm.
First, calculate \(lw\): \(lw=10\times4 = 40\)
Then, calculate \(lh\): \(lh = 10\times5=50\)
Next, calculate \(wh\): \(wh=4\times5 = 20\)
Now, \(lw+lh+wh=40 + 50+20=110\)
Then, \(S = 2\times110\)

Step3: Calculate the final value

\(S=220\) \(cm^{2}\)

Answer:

C. \(220\ cm^{2}\)