Respuesta :

The volume of a pyramid would be the base area times the height.
 Given the height and volume we can find the base ares by dividing the volume by the height.

64 / 16 = 4

The base area is 4 square feet

Answer: Base area would be 12 square feet.

Step-by-step explanation:

Since we have given that

Volume of pyramid = 64 ft³

Height of pyramid = 16 ft

As we know the formula for "Volume of pyramid":

[tex]Volume=\dfrac{1}{3}\times Base\ area\times height\\\\64=\dfrac{1}{3}\times base\ area\times 16\\\\\dfrac{64\times 3}{16}=Base\ area\\\\12\ ft^2=Base\ area[/tex]

Hence, base area would be 12 square feet.