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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

The shaded pyramid in the diagram is cut from a rectangular solid. How does the volume of the pyramid compare with the volume of the rectangular solid?

V- ABCD is a regular square pyramid. Find the following numerical answers.

Area鈥夆赌�of鈥夆赌�螖VBC=___

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

XM=___

Sketch the following square pyramid described. Then find its lateral area, total area, and volume.

Height=12,鈥�鈥�Slant鈥�鈥�Height=13

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

Height,鈥�h12Slant鈥夆赌塇eight,鈥�l13Base鈥夆赌塭dgeLateral鈥夆赌塭dge
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