Question

when cutting a rectangular prism horizontally, parallel to the 3 meter by 7 meters base, what is the area of the resulting cross - section? use the keypad to type your answer in the box provided. the area of the cross - section is square meters.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Identify the length and width of the cross - section

Since the cross - section is parallel to the base with dimensions \(3\) meters (width) and \(7\) meters (length). Here \(l = 7\) and \(w=3\).

Step3: Calculate the area of the cross - section

Substitute \(l = 7\) and \(w = 3\) into the formula \(A=l\times w\). So \(A=7\times3\).

Answer:

\(21\)