Final answer:
A total of 6 pieces of 3" x 8" is required to make one square foot, determined by dividing the total area of a square foot (144 square inches) by the area of one piece (24 square inches).
Step-by-step explanation:
To determine how many 3" x 8" pieces fit into one square foot, we need to calculate the area of both the individual pieces and the total square footage required. One square foot is 12" x 12" in dimensions. Thus, its total area is 144 square inches.
The area of one 3" x 8" piece is calculated by multiplying the length by the width: 3" x 8" = 24 square inches.
To find out how many of these pieces are required to cover a square foot, we divide the total area of the square foot by the area of one piece:
144 square inches / 24 square inches per piece = 6 pieces
Thus, 6 pieces of 3" x 8" are required to make one square foot.