A board is 48 inches long. It must be divided into four pieces of equal length and each cut will cause a waste of 3/16 inch. How long will each piece be after the cuts?
12 inches
11 55/64 inches*
11 1/16 inches
48 - 3*3/16 = 47.4375 in.
47.4375in./4 = 11.8594 in. each.
To find the length of each piece after the cuts, we need to subtract the total waste from the original length of the board and then divide the result by the number of pieces.
The waste caused by each cut is 3/16 inch, and since there are four cuts, the total waste is 4 * (3/16) = 12/16 = 3/4 inch.
Subtracting the waste from the original length of the board: 48 inches - 3/4 inch = 47 1/4 inches.
Finally, dividing the remaining length by the number of pieces: 47 1/4 inches / 4 = 47 1/4 รท 4 = 11 55/64 inches.
Therefore, each piece will be approximately 11 55/64 inches in length.
To find the length of each piece after the cuts, we first need to determine the total amount of wasted length caused by the cuts.
Given that the board is 48 inches long and each cut results in a waste of 3/16 inch, we can calculate the total wasted length by multiplying the number of cuts (in this case, 4) by the waste per cut (3/16 inch).
Total wasted length = (Number of cuts) x (Waste per cut)
= 4 x (3/16)
= 12/16
= 3/4 inch
Now, we need to subtract the wasted length from the original length of the board to find the total length of the four equally divided pieces.
Total length of four pieces = Original length - Total wasted length
= 48 inches - 3/4 inch
= 48 inches - (3/4) * 1 inch
= 48 inches - 3/4 inch
= 47 1/4 inches
To find the length of each piece, we divide the total length by the number of pieces (4).
Length of each piece = Total length / Number of pieces
= 47 1/4 inches / 4
= 11 55/64 inches
Therefore, each piece will be approximately 11 55/64 inches long after the cuts.
correct, only 3 cuts are needed, so
4x + 3(3/16) = 48
...
x = 759/64