Question

a rectangular prism is sliced vertically, perpendicular to its longer side. what is the shape of the resulting cross - section? if the prisms base has a width of 4 meters and a height of 7 meters, what is the area of the resulting cross - section? use the drop - down arrow to complete the sentences. the shape of the cross - section formed is a. the area of the cross - section is square meters.

Explanation:

Step1: Determine the shape of the cross - section

When a rectangular prism is sliced vertically perpendicular to its longer side, the resulting cross - section has the same shape as the base of the prism. Since the base of a rectangular prism is a rectangle, the shape of the cross - section is a rectangle.

Step2: Calculate the area of the cross - section

The formula for the area of a rectangle is \(A = w\times h\), where \(w\) is the width and \(h\) is the height. Given \(w = 4\) meters and \(h=7\) meters.

$$A=4\times7 = 28$$

Answer:

The shape of the cross - section formed is a rectangle.
The area of the cross - section is 28 square meters.