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Chapter 12: Q18. (page 485)

Find the height and the volume of a regular hexagonal pyramid with lateral edges 10 ft and base edges 6 ft.

Short Answer

Expert verified

The height of the pyramid is8 ft and volume is1443鈥夆赌塮迟2 .

Step by step solution

01

Step 1. Given information.

Base edge of regular hexagonal pyramid is 6 ft and lateral edges are 10 ft.

02

Step 2. Determine the height.

Use Pythagoras formula,

h=(10)2鈭�(6)2=100鈭�36[substitute]=64[subtract]=8

03

Step 3. Determine the volume.

Now, find the volume of pyramid.

V=13bh=13(332(6)2)(8)[substitute]=1443[simplify]

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Most popular questions from this chapter

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

Show that the ratio of the volumes of the two regular square pyramids is tan40掳tan80掳.

A drinking trough for horses is a right trapezoidal prism with dimensions shown below. If it is filled with water, about how much will the water weigh?

A right triangular prism has lateral area 120 cm2. If the base edges are 4 cm, 5 cm and 6 cm long, find the height of the prism.

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