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Chapter 12: Q26. (page 486)

Find the volume of a regular hexagonal pyramid with height 8 cm and base edges 6 cm.

Short Answer

Expert verified

Volume=1443  cm3

Step by step solution

01

Step 1. Given information.

The height of the hexagonal pyramid is equal to8cm and the length of base edge is equal to 6cm.

02

Step 2. Explanation.

The formula for the volume of pyramid is the one third of the product of base area and height.

V=13Bh

Simplify the base area of hexagonal triangle with side6cm .

B=332a2=332(6 cm)2=332(36 cm2)=543 cm2

03

Step 3. Determine The volume.

Substitute for B and8 for h in the formula for volume of pyramid.

V=13Bh=13(543)(8)=183×8=1443

Therefore, the volume of the hexagonal pyramid with height8cm and base edge6cm is equal to1443 .

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