Based on the calculations, the volume of this pyramid is equal to 324 cm³.
Given the following data:
- Edge length = 6 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 the pyramid from the right-angled triangle ABC by applying Tan trigonometry:
Tanθ = Opp/Adj = BC/AC
Tan60 = height/6
√3 = height/6
Height = 6√3 cm.
Now, we can calculate the volume:
Volume = 1/3 × base area × height
Volume = 1/3 × 54√3 × 6√3
Volume = 1/3 × 972
Volume = 324 cm³.
Read more on pyramid here: brainly.com/question/16315790
#SPJ2
