Question

Can the height of a regular pyramid be greater than the slant height? Explain.

Short answer

No, the height of a regular pyramid cannot be greater than the slant height.

Step-by-step solution

Step 1. Given information.

Given statement:

“The height of a regular pyramid can be greater than the slant height.”

Step 2. Explanation.

The height of the pyramid is the perpendicular distance of the top vertex to the base of the pyramid.

The perpendicular distance is always shorter than all other distances. The slant height of the pyramid is not the perpendicular distance.

Therefore, the height of a regular pyramid cannot be greater than the slant height.