A triangular display stand is shaped like a right pyramid with equilateral triangle base of side 12 cm and height 10 cm. What is the volume of the stand?
Show answer & explanation
Correct answer: D
Explanation
Given:
Base = equilateral triangle, side = 12 cm
Height of the pyramid = 10 cm
By formula:
Area of equilateral triangle = (√3/4) × a × a
Volume of the pyramid = (1/3) × base area × height
Base area = (√3/4) × 12 × 12
= (√3/4) × 144
= 36√3 cm²
Volume of the pyramid = (1/3) × 36√3 × 10 = 207.84 cm³