Question

find the surface area of the rectangular prism.
answer attempt 1 out of 2
cm² submit answer

Explanation:

Step1: Recall the formula for the 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 \(S = 2(lw+lh + wh)\). Here, \(l = 2\space cm\), \(w=3\space cm\), \(h = 6\space cm\).

Step2: Calculate each pair of products

• Calculate \(lw\): \(lw=2\times3 = 6\)
• Calculate \(lh\): \(lh=2\times6=12\)
• Calculate \(wh\): \(wh=3\times6 = 18\)

Step3: Sum the products and multiply by 2

First, sum \(lw + lh+wh\): \(6 + 12+18=36\). Then multiply by 2: \(S=2\times36\)

Answer:

\(72\)