Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
6. Cross Sections of Three-Dimensional Figures
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Exercise 8 Page 443

Think of a plane that intersects all but one face of a cube.

Possible

Practice makes perfect
Let's determine whether we can get a pentagon as a cross section from a cube.
A cube

A plane creating such a cross section has to intersect exactly five faces of the cube. For this reason, let's think of a plane that intersects all but the bottom face of a cube.

Equilateral triangle as a cross section

The shape formed by this plane is a pentagon. Therefore, it is possible to get a pentagon as a cross section from a cube.