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Chapter 12: Q1. (page 485)

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

Height,鈥�h4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尝补迟别谤补濒鈥夆赌塭诲驳别

Short Answer

Expert verified

Height,鈥�h4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6尝补迟别谤补濒鈥夆赌塭诲驳别34

Step by step solution

01

Step 1. Given information.

The height and slant height of a regular square pyramid are 4 and 5 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(5)2鈭�(4)2[substitute]=225鈭�16[square]=29[subtract]=6[simplify]

And

Lateraledge=(5)2+(3)2[substitute]=34

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