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Slice a square pyramid parallel to the base

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 square pyramid parallel to the base?

square pyramid, cut parallel to the base

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 square pyramid.

We slice it parallel to the base.

The red face is the cut.

2 Name the shape

Flat, the cut looks like this.

Parallel to the base, the cut is a square like the base, but smaller.

So it is a square.

= cut: a square

Careful!

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

Careful: parallel cut = the base shape

3 Check

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

So the answer is right!

like the base: square

Let's look back.

First: look at the cut.

Then: name the shape.

Last: check.

Answer
Careful: parallel cut = the base shape

Your turn

Try this one yourself, then check:

sphere, cut anywhere
Show the answer
a circle

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