What Is the Minimum Number of Containers On the Truck?

Truck Container Puzzle – What’s the Goal?

There are many math logic puzzles that use spacial modeling.

Here is one of them: 

You have a big truck that’s being filled with yellowish boxes, called containers.

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You’re given three pictures that show what the truck looks like:

• From the top (like you’re looking down)

• From the side (like you’re standing next to it)

• From the back (like you’re standing behind it)

Each picture shows squares where a box can be seen from that direction.

What’s Important

These pictures tell you where boxes are seen from each direction.
But they don’t tell you how far inside the truck each box is.

If one box is placed deeper than another, but it's in a different row or column, you can still see both in the view. So we don’t worry about how far back each box is — we only care which spots look like they have a box when seen from the outside.

The pictures only show what the eye can see from that direction, and depth doesn’t matter.

Your Challenge

What’s the smallest number of yellowish boxes you can put in the truck so that all three views match the pictures?

Rules:

• Every square that shows a box in the picture must have a real box in the truck.

• A single box can count for more than one view.

• You can put boxes anywhere inside the truck.

• Your goal is to use as few boxes as possible to make the views correct.

It’s like building the smallest number of boxes you need to make the truck look just right from the top, side, and back.