Question

Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
isosceles and scalene only
equilateral, isosceles, and scalene
No triangles can be formed by taking the cross-section of a rectangular prism.
equilateral and isosceles only

Answer 1

@mathmate

Answer 2

@SolomonZelman

Answer 3

@Loser66

Answer 4

@JuanitaM

Answer 5

can you help me?

Answer 6

Im going to go with the last one. Since the rectangular prism has all right triangles. Squares on the end..equilateral
rectangular on top..isoscles

Answer 7

just my guess...

Answer 8

@Samara8954
This is a question which is context dependent because it is heavily dependent \(your~ teacher's~ definition\) of cross section.
Sometimes a cross section is considered to be one that is parallel to two axes, which means that cutting through this shape will be like slicing bread, giving all rectangles.

A mathematical definition of cross section (by Wolfram/Mathworld) allows the cut to be at any angle:
"A cross section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross section of an object therefore represents an infinitesimal "slice" of a solid, and may be different depending on the orientation of the slicing plane. While the cross section of a sphere is always a disk, the cross section of a cube may be a square, hexagon, or other shape."

This opens the possibility of a large number of shapes, including rectangles, parallelograms, scalene, isosceles and equilateral triangles.

So check back your notes to see how your teacher defines cross section, then choose your answer accordingly.