Q:

A right rectangular pyramid is sliced parallel to the base, as shown.What is the area of the resulting two-dimensional cross-section?2 m²3 m²9 m²12 m²

Accepted Solution

A:

In order for us to solve this problem, we need to know how to find the area of the rectangle. There is a certain formula that we can use to find that, which I will go over in just a moment. I am also attaching am image alongside this answer to guide you in case you are a little bit confused or need extra studies.

Here, we can see the two dimensional cross section appear after the cut. Cross-section is the area of the figure that gets exposed after the cut is made, and in our case, it's a rectangle with measures 1m x 2m.

We need to set up an area formula in order to find the area of the cross-section.

$$A=l*w$$

In our case, "l" stands for length and "w" stands for width. Let's substitute the values with the ones we know.

$$A=2*1$$
$$A=2$$

Great. Question is solved, and we now know that the area of the cross-section is 2 m².

Answer: Area of the cross section is 2 m²