4 boards (1 inch X 8inchs X 6feet} and 3 boards (1 inch X 6 inches x 4feet}= how many board feet?
1 board foot =1 inch by 12 inches x 12inches
Find the total volume in cubic inches and divide by 144 cubic inches/board-foot.
[4(1*8*(6*12))+3(1*6*(4*12)]/144
will be the answer.
I will let you find that using your calculator.
the answer is 1730.25. The first part of the equation equals 2,304 then you add the 3 to it to make it 2,307 then you will times that by the second equation which is 108 and that will equal 249,156 when that is divided by 144 u get the answer
To Roxann:
when we have mixed addition and multiplications, the priority of operations dictate that multiplications and divisions take precedence over addition and multiplication.
For example,
5*2+3*4
means
(5*2)+(3*4) (* & ÷ before + & -
=10+12
=22
(5*2+3)*4 would not be the right way to do it.
To find the total number of board feet for the given boards, we need to calculate the volume of each board and then add them together.
Let's start with the first type of board: 1 inch by 8 inches by 6 feet.
1 inch by 8 inches by 6 feet can be converted to:
1 inch by (8/12) feet by 6 feet
Now, let's calculate the volume of one board:
Volume = (1 inch) * (8/12 feet) * (6 feet)
= (1/12) cubic feet * (8/12) cubic feet * 6 cubic feet
= (8/144) cubic feet * 6 cubic feet
= (48/144) cubic feet
= (1/3) cubic feet
So, each board of the first type has a volume of 1/3 cubic feet.
Now, let's move on to the second type of board: 1 inch by 6 inches by 4 feet.
1 inch by 6 inches by 4 feet can be converted to:
1 inch by (6/12) feet by 4 feet
Now, let's calculate the volume of one board:
Volume = (1 inch) * (6/12 feet) * (4 feet)
= (1/12) cubic feet * (6/12) cubic feet * 4 cubic feet
= (6/144) cubic feet * 4 cubic feet
= (24/144) cubic feet
= (1/6) cubic feet
So, each board of the second type has a volume of 1/6 cubic feet.
Finally, let's add up the volumes of all the boards:
Total volume = (4 boards) * (1/3 cubic feet per board) + (3 boards) * (1/6 cubic feet per board)
= (4/1) * (1/3) cubic feet + (3/1) * (1/6) cubic feet
= 4/3 cubic feet + 1/2 cubic feet
= (8/6) cubic feet + (3/6) cubic feet
= 11/6 cubic feet
Therefore, the total number of board feet for the given boards is 11/6 cubic feet.