Question

question 3 of 10
what is the surface area of the rectangular prism below?

a. 823 units²
b. 700 units²
c. 740 units²
d. 1260 units²

Explanation:

Step1: Recall the surface area formula

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: Identify the dimensions

Here, \(l = 14\), \(w=12\), \(h = 7\).

Step3: Calculate each product

• \(lw=14\times12 = 168\)
• \(lh=14\times7=98\)
• \(wh=12\times7 = 84\)

Step4: Sum the products and multiply by 2

\(S=2(168 + 98+84)=2\times350 = 700\)

Answer:

B. 700 units²