Slice a box 6 by 4 by 3 parallel to the base

Step by step

The question

Question: what shape is the cut, if we slice a box 6 by 4 by 3 parallel to the base, and what is its area?

A cross section is the flat face we see when we slice a solid.

1 Look at the cut

Here is the box.

We slice it parallel to the base.

The red face is the cut.

2 Name the shape

Flat, the cut looks like this.

The cut is the same as the bottom face: a rectangle.

So it is a rectangle.

Careful!

A cut parallel to the base always has the shape of the base.

3 Find its area

A rectangle's area is length times width: 24.

4 Check

Let's check: a cut parallel to the base has the shape of the base.

So the answer is right!

Let's look back.

First: look at the cut.

Then: name the shape.

Then: find its area.

Last: check.