Question

toy box net of toy box what is the surface area, in square centimeters, of the toy box?

Explanation:

Step1: Identify the formula for the surface area of 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. From the net, \(l = 14\) cm, \(w=9\) cm, \(h = 10\) cm.

Step2: Calculate \(lw\), \(lh\), and \(wh\)

• \(lw=14\times9 = 126\)
• \(lh=14\times10=140\)
• \(wh=9\times10 = 90\)

Step3: Substitute into the formula

\(S=2(126 + 140+90)\)
First, add the values inside the parentheses: \(126+140 + 90=356\)
Then, multiply by 2: \(S=2\times356\)

Answer:

\(712\)