Question

follow the steps to find the surface area of the rectangular prism. what is the area of the front and back? top and bottom: 240 cm² front and back: ? sides: total sa:

Explanation:

Step1: Identify the formula for the area of a rectangle

The area of a rectangle is \(A = l\times w\). For the front (or back) of the rectangular prism, the length \(l = 10\) cm and the height \(w=7\) cm.

Step2: Calculate the area of one front (or back) face

Using the formula \(A = l\times w\), for one face \(A_1=10\times7 = 70\space cm^{2}\)

Step3: Calculate the area of front and back faces

Since there are two faces (front and back), \(A = 2\times A_1\). Substitute \(A_1 = 70\space cm^{2}\), we get \(A=2\times70=140\space cm^{2}\)

Answer:

\(140\space cm^{2}\)