What are the possible shapes of cross sections of this figure? A cross section formed

Part A) Is a square

Part B) Is a rectangle

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The figure show a rectangular prism with a square base

Part A) A cross section formed by a plane that intersects the prism parallel to its base would take the shape of a

we know that

A cross section is the intersection of a figure in three-dimensional space with a plane

A plane parallel to the base of a rectangular prism will intersect a cross section that is the same shape as its bases.

so

The cross section is a square

Part B) A cross section formed by a plane that intersects the prism perpendicular to its base would take the shape of a

we know that

A plane perpendicular to the base of a rectangular prism will intersect a cross section that is the same shape as its lateral faces

so

The cross section is a rectangle

C) 8

Step-by-step explanation:

Since the x values are the same, we are only looking at the y values

-3 to 5

The distance is

5 - -3

5+3

8