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Chapter 12: Q36. (page 480)

A right prism has height h and bases that are regular hexagons with sides s. Show that the volume is32s2h3.

Short Answer

Expert verified

The volume of the prism is32s2h3 .

Step by step solution

01

Step 1. Given information.

Right prism height is h and base have regular hexagons with sides s.

02

Step 2. Write the concept.

Since base have regular hexagons, then

B=332s2

03

Step 3. Determine the volume.

Now, the volume of the right prism is:

v=Bh=332s2(h)[substitute]=32s2h3[multiply]

This is the required expression.

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