Based on the calculations, the volume of this pyramid is equal to: C. 324 cubic centimeters.
How to calculate the volume of a pyramid?
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.
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Complete Question:
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?
