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Chapter 12: Q17. (page 484)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

Given statement:

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

02

Step 2. Explanation.

In a face of the regular pyramid, the slant height is the perpendicular distance from the vertex to the base of the face.

The perpendicular distance is always shorter than all other distances and in the same face the lateral edge is not the perpendicular distance.

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

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Most popular questions from this chapter

A right prism has square bases with edges that are three times as long as the lateral edges. The prism’s total area is 750 m2. Find the volume.

Find the volume and the total surface area of each solid in terms of the given variables.

All nine edges of right triangular prism are congruent. Find the length of these edges if the volume is543  cm3.

Find the height and the volume of a regular hexagonal pyramid with lateral edges 10 ft and base edges 6 ft.

Copy and complete the table below for the regular square pyramid.

Height, h6Slant  Height, lBase  edgeLateral  edge10
See all solutions

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