Question

what is the surface area? square centimeters submit

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 \(S = 2(lw+lh + wh)\).

Step2: Identify the values of \(l\), \(w\), and \(h\)

Here, \(l = 23\space\text{cm}\), \(w=12\space\text{cm}\), and \(h = 21\space\text{cm}\).

Step3: Calculate \(lw\), \(lh\), and \(wh\)

• \(lw=23\times12 = 276\)
• \(lh=23\times21=483\)
• \(wh=12\times21 = 252\)

Step4: Calculate \(lw + lh+wh\)

\(lw+lh + wh=276 + 483+252=1011\)

Step5: Calculate \(2(lw + lh+wh)\)

\(S=2\times1011 = 2022\)

Answer:

\(2022\)