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Chapter 12: Q16. (page 485)

A regular octagonal pyramid has base edge 3 m and lateral area 60 m2. Find its slant height.

Short Answer

Expert verified

The slant height of the pyramid is5 m.

Step by step solution

01

Step 1. Given information.

Base edge of pyramid is 3 m and lateral area is 60 m2.

02

Step 2. Write the concept.

The volume of the pyramid is given by the following formula:

L.A.=12pl

03

Step 3. Determine the height.

Substitute the given values in the formula.

L.A.=12pl60=12(8(3))(l)[substituteandp=nb]60=12l[multiplyanddivide]l=5[divide]

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