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Chapter 12: Q16. (page 484)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

Given statement:

鈥淭he height of a regular pyramid can be greater than the slant height.鈥�

02

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.

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Most popular questions from this chapter

Find the following for the regular triangular pyramid.

If AB = 12 and VA = 10, find the lateral area and the volume.

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

Height,鈥�h厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l5叠补蝉别鈥夆赌塭诲驳别8尝补迟别谤补濒鈥夆赌塭诲驳别

Find the following for the regular triangular pyramid.

If AM = 9 and VA = 10, find h and l.
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