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A circular tablecloth has a diameter of 2.0 m. Assuming a fabric roll width of 1.5 m, is the roll wide enough to cut the tablecloth in one piece? What is the minimum length of fabric needed?
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1.2.3 Determine whether the fabric roll width is sufficient to cut the tablecloth in one piece.
Identify the required dimension for the tablecloth.
The new diameter of the tablecloth (calculated in 1.2.1) is . To cut a circular tablecloth of this size in one piece, the fabric roll width must be at least .
State the assumed fabric roll width.
The fabric roll width is not provided in the problem statement. For the purpose of this calculation, we will assume a common fabric roll width of .
Compare the required width with the assumed roll width.
Required width =
Assumed roll width =Conclude whether the roll width is sufficient.
Since , the assumed fabric roll width of is not sufficient to cut the tablecloth in one piece.
The answer is .1.2.4 Calculate the minimum length of fabric required from the roll to cut ONE tablecloth.
Identify the minimum length needed.
To cut a circular tablecloth of diameter from a roll, the minimum length of fabric required from the roll is equal to the diameter of the tablecloth.
State the minimum length.
Minimum length = .
The minimum length of fabric required is .1.2.5 Calculate the wastage of fabric per tablecloth if the piece cut is rectangular (length width).
Determine the dimensions of the rectangular piece of fabric.
To cut a circular tablecloth with a diameter of , the smallest rectangular piece of fabric that can contain it would have a length of and a width of .
Calculate the area of the rectangular piece of fabric.
Recall the area of the tablecloth.
From question 1.2.2, the area of one tablecloth is .
Calculate the wastage of fabric.
The wastage of fabric per tablecloth is approximately .
1.2.6 If Madlamini makes 10 tablecloths, calculate the total fabric used in m.
Identify the area of fabric required for one tablecloth.
From question 1.2.2, the area of fabric required for one tablecloth is .
Calculate the total fabric used for 10 tablecloths.
The total fabric used for 10 tablecloths is approximately .
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