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Chapter 12: Q5. (page 485)

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

Height,鈥�h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8尝补迟别谤补濒鈥夆赌塭诲驳别

Short Answer

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Height,鈥�h3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8尝补迟别谤补濒鈥夆赌塭诲驳别41

Step by step solution

01

Step 1. Given information.

The slant height and base edge of a regular square pyramid are 5 and 8 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(l)2鈭�(h)28=2(5)2鈭�(h)2[substitute]4=25鈭�h2[squareanddivide]

So, the height is:

25鈭�h2=16[square]h=3[simplify]

And

Lateraledge=(5)2+(4)2[substitute]=41[simplify]

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