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Slice a box parallel to the front

Step by step, with the reason for every step · Cross sections · Geometry

Step by step

The question

Question: what shape is the cut, if we slice a box parallel to the front?

box, cut parallel to the front

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

cross section = the face of a cut

1 Look at the cut

Here is the box.

We slice it parallel to the front.

The red face is the cut.

2 Name the shape

Flat, the cut looks like this.

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

So it is a rectangle.

= cut: a rectangle

Careful!

Picture the flat face where the knife went through.

Careful: think of the flat face

3 Check

Let's check: look at the box from the side.

You see a rectangle, the same as the cut through the middle.

So the answer is right!

side view: rectangle

Let's look back.

First: look at the cut.

Then: name the shape.

Last: check.

Answer
Careful: think of the flat face

Your turn

Try this one yourself, then check:

cone, cut parallel to the base
Show the answer
a circle

More from Cross sections

The whole lesson: Cross sections →