Find the volume of a pyramid whose base is an equilateral triangle having each side of length 12 cm, and a height of the pyramid 8 cm.
Show answer & explanation
Correct answer: C
Explanation
Given:
Side of equilateral triangle = 12 cm
Height of pyramid = 8 cm
Formula:
Volume of pyramid = (1/3) × base area × height
Area of equilateral triangle = (√3/4) a²
Base area = (√3/4) × (12)²
Base area = (√3/4) × 144
Base area = 36√3
Volume = (1/3) × 36√3 × 8
Volume = 96√3
Volume of pyramid = 96√3 cm³