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Chapter 12: Q2. (page 485)

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

Height,鈥�h12厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l13叠补蝉别鈥夆赌塭诲驳别尝补迟别谤补濒鈥夆赌塭诲驳别

Short Answer

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Height,鈥�h12厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l13叠补蝉别鈥夆赌塭诲驳别10尝补迟别谤补濒鈥夆赌塭诲驳别194

Step by step solution

01

Step 1. Given information.

The height and slant height of a regular square pyramid are 12 and 13 unit respectively.

02

Step 2. Write the concept.

The base edge is given by:

Baseedge=2(l)2鈭�(h)2

And the lateral edge is given by:

lateraledge=(l)2+(baseedge2)2

03

Step 3. Determine the values.

Substitute all the given values in the formula.

Baseedge=2(13)2鈭�(12)2[substitute]=2169鈭�144[square]=225[subtract]=10[simplify]

And

Lateraledge=(13)2+(5)2[substitute]=194[simplify]

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