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natka813 [3]
1 year ago
8

What is the volume of the pyramid? 72startroot 3 endroot cm3 108startroot 3 endroot cm3 324 cm3 486 cm3

Mathematics
1 answer:
natima [27]1 year ago
3 0

Based on the calculations, the volume of this pyramid is equal to: C. 324 cubic centimeters.

<h3>How to calculate the volume of a pyramid?</h3>

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Next, we would determine the height of triangle ABC by using this formula:

Height = a × √3

Height = 6√3

Substituting the parameters into the formula for volume, we have;

Volume = 1/3 × 54√3 × 6√3

Volume = 1/3 × 972

Volume = 324 cm³.

Read more on pyramid here: brainly.com/question/16315790

#SPJ4

<u>Complete Question:</u>

A solid oblique pyramid has a regular hexagonal base with an area of 54√3 centimeters squared and an edge length of 6 centimeters. Point B is the ap-ex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle ABC is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid?

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