Brianna has a sheet of paper that is 6 feet long. She cuts the length of paper into sixths and then cuts the length of each of these 1/6-pieces into thirds. How many pieces does she have? How many inches long is each piece?
6*3 = 18 pieces, so 6/18 = 1/3 ft each
so how many inches is that?
36
To find out how many pieces Brianna has in total, we multiply the number of equal parts she cut the paper into.
Given that the length of the paper is 6 feet and she cuts it into sixths, we need to multiply 6 (number of sixths) by 6 (number of equal parts).
Therefore, Brianna has 6 x 6 = 36 equal pieces.
To find out the length of each piece in inches, we need to convert the length from feet to inches. Since 1 foot is equal to 12 inches, the total length in inches is 6 x 12 = 72 inches.
Now, to get the length of each piece, we divide the total length in inches by the number of pieces, which is 72 / 36 = 2 inches long per piece.
Therefore, Brianna has a total of 36 pieces, and each piece is 2 inches long.
To find out how many pieces Brianna has, we need to multiply the number of cuts she makes. First, she cuts the 6-foot paper into sixths. Since she cuts once between each of the six pieces, there are 6 - 1 = 5 cuts made.
Then, she cuts each of the 1/6-pieces into thirds. For each of the 1/6-pieces, there are 3 - 1 = 2 cuts made.
To calculate the total number of pieces, we multiply the number of cuts from the first step with the number of cuts from the second step: 5 cuts × 2 cuts = 10 pieces.
Now, let's calculate the length of each piece. We know that each 1/6-piece is 1/6 of the original 6-foot length.
So, each 1/6-piece is 6 feet ÷ 6 = 1 foot long.
Then, Brianna cuts each 1/6-piece into thirds. Each piece is now 1 foot ÷ 3 = 1/3 of a foot long.
Lastly, let's convert this to inches, as the question asks for the length in inches. Since there are 12 inches in a foot, each piece is 1/3 × 12 inches = 4 inches long.
Therefore, Brianna has 10 pieces, and each piece is 4 inches long.