Final answer:
The footage of a 5/4" x 12" x 96" board is calculated by converting the thickness from quarters to inches and finding the volume in cubic inches, then converting that to board feet. The board measures 10 board feet.
Step-by-step explanation:
To calculate the footage of a 5/4" x 12" x 96" board, we convert the thickness from quarters of an inch to inches, and then multiply the dimensions together to get the volume in cubic inches. Since the thickness is 5/4 inches, it converts to 1.25 inches. Then we calculate the volume: 1.25 inches x 12 inches x 96 inches equals 1440 cubic inches. To find the footage, which typically refers to board feet in lumber measurements, we divide the volume in cubic inches by 144 (since one board foot equals one square foot that is one inch thick). So, 1440 cubic inches divided by 144 equals 10 board feet.