A 2 by 6 is 1 1/2 in thick. how high would a stack of 2 by 6 boards be if the stack is 10 boards high? Express your answer in feet and inches
1.5 * 10 = ?
To find the height of the stack of 2 by 6 boards, we need to multiply the thickness of each board by the number of boards in the stack.
The thickness of a single 2 by 6 board is given as 1 1/2 inches. To express this in decimal form, we can convert it to a mixed number: 1 + 1/2 = 2/2 + 1/2 = 3/2. Therefore, each board has a thickness of 3/2 inches.
Since the stack has 10 boards, we can multiply the thickness of a single board by the number of boards: (3/2 inches/board) × (10 boards) = 30/2 inches.
To convert this to feet and inches, we need to divide the total number of inches by 12 (since there are 12 inches in a foot), and then express the remaining inches as the remainder.
(30/2 inches) ÷ (12 inches/foot) = 15/1 feet.
So the stack of 10 boards would be 15 feet in height.
Since the question also asks for the answer in inches, we need to find the remaining inches. To do this, we multiply the fractional part of the answer (15/1) by 12:
(15/1 feet) × (12 inches/foot) = 180/1 inches.
Therefore, the stack of 10 boards would be 15 feet and 180 inches in height.