Final answer:
The volume of the square pyramid is found using the formula V = (1/3) × base area × height. Upon calculating with the base edges as 8 ft and height as 6 ft, the volume is 128 ft³. The correct answer is option a. 128 ft³
Step-by-step explanation:
Calculating the Volume of a Square Pyramid
To calculate the volume of a square pyramid, we must use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. Here, the base is a square with edges of 8 ft each, so the area of the base is 8 ft × 8 ft = 64 ft². The height of the pyramid is given as 6 ft. Applying these figures to our formula:
V = (1/3) × 64 ft² × 6 ft = 128 ft³.
Therefore, the volume of the pyramid is 128 ft³, which corresponds to option (a) in the multiple-choice answers provided.