Q18. - Geometry

Question

Can the area of the base of a regular pyramid be greater than the lateral area? Explain.

Step-by-Step Solution

Answer

No, the area of the base of a regular pyramid cannot be greater than the lateral area.

Step 1. Given information.

Given statement:

“The area of the base of a regular pyramid can be greater than the lateral area.”

Step 2. Explanation.

The lateral area of the regular pyramid is the product of number of faces and area if each face of pyramid.

 

The base area of the regular pyramid is the area of the face along the base. In general, the area of along is the base is less than the lateral area of pyramid.

 

Therefore, the area of the base of a regular pyramid cannot be greater than the lateral area.