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How does the shape of a cross-section of a 3D figure parallel to the base relate to the volume of the 3D figure?

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Answer:

The volume of a 3D figure can be determined by the sum of all the cross-sections of that 3D figure parallel to the base

Explanation:

We need to understand what a cross-section of a 3D figure ?

A cross section is the shape we get when cutting straight through an object

and in geometry it is the shape made when a solid is cut through by a plane.

=> the cross section is parallel to the base of the figure.

So that the area of the cross-section is determined by its shape

Hence, The volume of a 3D figure can be determined by the sum of all the cross-sections of that 3D figure parallel to the base

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