marguerite is building a box from strips of wood.she needs 78 pieces of wood that are each 29 centimeters long .the wood comes in boards that are 6 meters ong .how many boards will she need explain
Mathematics · College · Thu Feb 04 2021
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To find out how many boards Marguerite will need, we first need to calculate the total length of wood she requires and then divide that by the length of each board.
Step 1: Calculate the total length of wood required. Marguerite needs 78 pieces of wood that are 29 centimeters long each. So the total length in centimeters is 78 pieces * 29 centimeters/piece.
78 * 29 = 2262 centimeters
Step 2: Convert the total length from centimeters to meters. We know that 1 meter equals 100 centimeters, so we convert the total length into meters to match the measurement unit of the boards.
2262 centimeters / 100 = 22.62 meters
Step 3: Determine how many 6-meter boards are required. The wood comes in boards that are 6 meters long. So we need to divide the total length of wood Marguerite requires by the length of one board.
22.62 meters / 6 meters/board = 3.77 boards
Since Marguerite can't buy a fraction of a board, she will need to round up to the next whole number. Therefore, she will need 4 boards to have enough wood for the 78 pieces.
Extra: When working on a project that involves materials like wood or fabric, it's important to consider measurements and conversions. Marguerite had to first determine the total length of wood she needed by multiplying the number of pieces by the length of each piece.
However, because measurements can come in different units (like centimeters, meters, inches, feet, etc.), a conversion may sometimes be necessary to ensure that the units match. In this case, converting centimeters to meters was essential because the boards were sold by meter.
Lastly, one has to take into account that materials are often sold in set lengths or quantities, which is why Marguerite needed to round up to the next full board to ensure she had enough. This is a common principle in material planning to avoid running short on materials for a project.