Q17.
Question
Can the slant height of a regular pyramid be greater than the length of a lateral edge? Explain.
Step-by-Step Solution
Verified Answer
No, the slant height of a regular pyramid cannot be greater than the length of a lateral edge.
1Step 1. Given information.
Given statement:
“The slant height of a regular pyramid can be greater than the length of a lateral edge.”
2Step 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.
Other exercises in this chapter
Q15.
Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.T.A.=___
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Can the area of the base of a regular pyramid be greater than the lateral area? Explain.
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Copy and complete the table below for the regular square pyramid.Height, h4Slant Height, l5Base edgeLateral e
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