What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12 inches?

Respuesta :

Answer:

  • 166.24 in³

Step-by-step explanation:

Volume formula:

  • V = 1/3 Bh, B-base area, h- height

Base area:

  • B = 3√3a² / 2 = 3√3*4² / 2 = 41.57 in (rounded)

Volume:

  • V = 1/3*41.56*12 = 166.24 in³