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3 years ago

What is the volume of the regular pyramid?

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume of the regular pyramid is $V=\dfrac{1}{3}A_{base}H.$

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

$A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.$

Hence, the volume of the pyramid is

$V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.$

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