Question

which expression can be used to find the surface area of the prism? 2(20 8)+2(20 3)+2(8 * 3) what is the surface area of the prism? sa = cm²

Explanation:

Step1: Identify the formula for surface - area of a rectangular prism

The formula for the surface - area of a rectangular prism is \(SA = 2(lw+lh + wh)\), where \(l\), \(w\), and \(h\) are the length, width, and height respectively. In the given expression \(2(20\cdot8)+2(20\cdot3)+2(8\cdot3)\), we can assume \(l = 20\), \(w = 8\), and \(h = 3\).

Step2: Calculate each part of the sum

First part: \(2(20\cdot8)=2\times160 = 320\).
Second part: \(2(20\cdot3)=2\times60 = 120\).
Third part: \(2(8\cdot3)=2\times24 = 48\).

Step3: Find the total surface - area

Add the three results together: \(SA=320 + 120+48=488\).

Answer:

488