Using a plane section to slice the square pyramid below would result in a square cross section. If Wich slicing direction were used.
A parallel to the base
B perpendicular to the base
C diagonally
D vertically
A: parallel to the base
To determine which slicing direction would result in a square cross section of the square pyramid, let's analyze each option:
A) Parallel to the base: This means slicing the pyramid in a direction that is parallel to the base. If you were to imagine slicing the pyramid horizontally at a certain height, the resulting cross section would not be a square. It would likely be a rectangle.
B) Perpendicular to the base: This means slicing the pyramid in a direction that is perpendicular to the base, or slicing vertically from the apex down to the base. If you were to imagine slicing the pyramid from top to bottom, the resulting cross section would be a square. Therefore, this option would result in a square cross section.
C) Diagonally: Slicing the pyramid diagonally would result in a triangular cross section, not a square.
D) Vertically: Slicing the pyramid vertically, from top to bottom, would again result in a square cross section, as all the vertical slices would have the same shape.
Therefore, the correct answer is B) Perpendicular to the base.
If a square cross section is desired when slicing the square pyramid, the slicing direction should be:
B) perpendicular to the base.
By slicing the pyramid perpendicular to the base, a cross section with a square shape will be obtained.