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Q.

The largest possible section of a pentagonal prism will have -

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Detailed Solution

To understand this, let's break it down step by step in a simple way:

What is a Pentagonal Prism?

A pentagonal prism is a 3D shape that has:

Two pentagon-shaped faces (top and bottom),

Five rectangular faces connecting the sides,

A total of 7 faces.

What is a “Section” of a Shape?

A section means a flat shape you get when you cut through a 3D object.

Think of slicing a fruit — the flat surface you see is the section.

So, What’s the Largest Possible Section?

The largest flat surface you can get from cutting a pentagonal prism is when you slice it straight down through the middle, parallel to its base like cutting it in half from top to bottom.

When you do this, the shape of the section depends on how you cut:

If you cut straight across the center from one side to the other, the section will be a rectangle that stretches the full length of the prism.

If you cut it exactly along the full face (like slicing off the side), the section can be a pentagon (like the base itself).

The largest possible section of a pentagonal prism will have 6 sides a hexagon.

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The largest possible section of a pentagonal prism will have -