How many board feet of lumber are in 26 planks measuring 3" x 16" and 24 feet long?

To determine the number of board feet of lumber, you can use the formula for calculating board feet, which is based on the dimensions of the lumber. The formula is:

Board feet = (Thickness in inches x Width in inches x Length in feet) / 12

In this case, each plank measures 3 inches thick, 16 inches wide, and 24 feet long.

First, convert the length from feet to inches:

24 feet = 24 x 12 = 288 inches.

Now, apply the dimensions to the board feet formula for one plank:

Board feet for one plank = (3 x 16 x 288) / 12.

Calculating this gives:

Board feet for one plank = (48 x 288) / 12 = 13824 / 12 = 1152 board feet.

Since there are 26 planks, multiply the board feet of one plank by 26:

Total board feet = 1152 x 26 = 29952 / 1000 = 2,496 board feet.

This calculation reveals that the total number of board feet in the given planks is 2,496. Thus, this value is correct based on the arithmetic performed, leading to the correct