Big Ideas Math: Modeling Real Life, Grade 7
BI
Big Ideas Math: Modeling Real Life, Grade 7 View details
6. Cross Sections of Three-Dimensional Figures
Continue to next subchapter

Exercise 6 Page 443

Consider a plane that is parallel to one of the faces of the cube.

Possible

Practice makes perfect
Let's determine whether it is possible to get a square as a cross section from a cube. First, notice that each face of a cube is a square.
A cube

Now let's draw an intersecting plane that is parallel to a face of the cube.

A square as an intersection of cube and plane

As a result, the intersection is similar to the faces — in other words, the intersection is a square. Therefore, it is possible to obtain a square as a cross section from a cube.