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Chapter 12: Q3. (page 485)

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

Height,鈥�h24厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l叠补蝉别鈥夆赌塭诲驳别14尝补迟别谤补濒鈥夆赌塭诲驳别

Short Answer

Expert verified

Height,鈥�h24厂濒补苍迟鈥夆赌塇别颈驳丑迟,鈥�l25叠补蝉别鈥夆赌塭诲驳别14尝补迟别谤补濒鈥夆赌塭诲驳别674

Step by step solution

01

Step 1. Given information.

The height and base edge of a regular square pyramid are 24 and 14 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)214=2(l)2鈭�(24)2[substitute]7=l2鈭�576[squareanddivide]

So,

l2鈭�576=49[square]l=25[simplify]

And

Lateraledge=(25)2+(7)2[substitute]=674[simplify]

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Most popular questions from this chapter

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

Volume=___

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

Name two lateral edges and an altitude of the following prism?

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

L.A.=___

Sketch the following pyramid. Then find its lateral area.

A regular pentagonal pyramid with base edge 1.5 and slant height 9.
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