{"id":62,"date":"2021-12-08T19:20:33","date_gmt":"2021-12-08T19:20:33","guid":{"rendered":"https:\/\/opentextbc.ca\/mathfortrades3\/chapter\/litres\/"},"modified":"2022-09-29T14:37:03","modified_gmt":"2022-09-29T14:37:03","slug":"litres","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/mathfortrades3\/chapter\/litres\/","title":{"raw":"Litres","rendered":"Litres"},"content":{"raw":"

Click play on the following audio player to listen along as you read this section.<\/p>\r\nhttps:\/\/media.bccampus.ca\/id\/0_abkly318?width=608&height=50&playerId=23449753\r\n\r\nBefore we even begin to talk about this topic we need to get one thing out of the way. What is the correct spelling of the word? Is it litres or liters?\r\n\r\n\"litres<\/a>\r\n\r\nIn reality both of those spellings are correct. It just depends on which reality you live in. If you are living in the United States then the correct spelling is LITERS. <\/strong>If you living in Canada then the correct spelling it LITRES.<\/strong>\r\n\r\n\"\"\r\n\r\nAs this book is being written in Canada it is only natural that we are going to spell it:\r\n

L\u00a0\u00a0 I\u00a0\u00a0 T\u00a0\u00a0 R\u00a0\u00a0 E\u00a0\u00a0 S<\/em><\/strong><\/p>\r\n \r\n\r\nNow let's go into a short introduction.\r\n\r\n\"\"\r\n\r\nThe litre is also a unit of measurement when dealing with capacities but unlike gallons litres only comes in one variety. A litre is a litre is a litre is a litre. A litre is similar in capacity to 1.75 English pints and is exactly 1000 cubic centimeters. Once again we end up back to the fact that metric is sooooo easy to work with as everything is based on multiples of 10.\u00a0 Later on in this chapter we\u2019ll convert from gallons to litres and then back again.\r\n\r\n\"\"\r\n\r\nIn beer terminology (because in my mind everyone likes beer) a growler is the term used to describe a bottle filled with beer. A growler is usually 2 litres in capacity. Breweries also sell beer in one litre bottles which are often referred to as Boston rounds. The term Boston round actually just refers to the type of bottle used and not volume. Below is a picture of a couple of beer growlers. For math purposes remember they are 2 litres.\r\n\r\n\"three\r\n\r\nSo now that we have the beer situation out of the way let\u2019s get to exactly how much a litre is.\r\n\r\nWhen dealing with gallons we converted them to cubic feet. We kept everything in imperial units of measure. As litres is metric we\u2019ll convert it into cubic meters.\r\n

\r\n\r\nQuestion<\/em>:<\/strong> Do you think a litre is more or less than a cubic meter?\r\n\r\n<\/div>\r\nI think this one is a bit easier to visualise than the gallon so I\u2019ll just go ahead and give you the answer.\r\n\r\nA CUBIC METER IS LARGER\u2026\u2026..A LOT LARGER<\/em><\/strong>\r\n\r\nThe relationship is as follows:\r\n

[latex]1 \\text{ cubic meter} = 1000 \\text{ litres}[\/latex]<\/p>\r\n \r\n\r\n\"1000<\/a>\r\n\r\nOnce again as with everything in metric it\u2019s easy to remember. As this is so easy to remember we'll get right to the examples as there is not a whole bunch of explaining that needs to be done.\r\n

\r\n

Example<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\nHow many litres are there in 5.78 cubic meters?\r\n\r\nStep 1: <\/strong>Write down the relationship you are going to use.\r\n

[latex]1 \\text{ cubic meter} = 1000 \\text{ litres}[\/latex]<\/p>\r\nStep 2: <\/strong>Cross multiply.\r\n

[latex]\\dfrac{1 \\text{ cubic meter}}{5.78 \\text{ cubic meters}} = \\dfrac{1000 \\text{ litres}}{\\text{X litres}}[\/latex]<\/p>\r\n

[latex]\\begin{array}{c} 1 \\times \\text{X} &= 5.78 \\times 1000 \\\\ \\text{X} &= 5.78 \\times 1000 \\\\ \\text{X} &= 5780 \\end{array}[\/latex]<\/p>\r\n

[latex]\\text{answer} = 5780 \\text{ litres}[\/latex]<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n

Example<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\nLet\u2019s try the reverse. If we had 3287 litres how many cubic meters would that be?\r\n\r\nStep 1: <\/strong>Write down the relationship you are going to use.\r\n

[latex]1 \\text{ cubic meter} = 1000 \\text{ litres}[\/latex]<\/p>\r\nStep 2:\u00a0 <\/strong>Cross multiply.\r\n

[latex]\\dfrac{1 \\text{ cubic meter}}{\\text{X cubic meters}} = \\dfrac{1000 \\text{ litres}}{3287 \\text{ litres}}[\/latex]<\/p>\r\n

[latex]\\begin{array}{c} 1 \\times 3287 &= \\text{X} \\times 1000 \\\\ \\text{X} &= \\dfrac{3287}{1000} \\\\ \\text{X} &= 3.287 \\end{array}[\/latex]<\/p>\r\n

[latex]\\text{answer} = 3.287 \\text{ cubic meters}[\/latex]<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\nTry a couple practice questions and check out the video answers to see how you did.\r\n

Practice Questions<\/h1>\r\n
\r\n

Question 1<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n\"\"\r\n\r\nWe're going to go back to our winemaking and another winemaker for this one. Pier-Alexis is a sommelier who plans to start his own winery. He lets his assistant calculate how much wine the vineyard he is looking to purchase will make.\r\n\r\nHis assistant ends up calculating the final answer in cubic meters of wine which is of no use to Pier - Alexis. He wants to calculate the amount of wine in litres. His assistant has stated that the vineyard will produce approximately 12.79 cubic meters of wine. How many litres of wine is this?\r\n\r\nhttps:\/\/media.bccampus.ca\/id\/0_i2av6isn?width=608&height=402&playerId=23449753\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n

Question 2<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n\"\"\r\n\r\nEmily has decided to build a pool in the backyard of her family home. The pool is 9.78 meters long by 5 meters wide by 1.3 meters deep. Calculate the number of litres it takes to fill up the pool. Keep in mind that that pool is only filled up 90%.\r\n\r\nhttps:\/\/media.bccampus.ca\/id\/0_vmzf6jc6?width=608&height=402&playerId=23449753\r\n\r\n<\/div>\r\n<\/div>","rendered":"

Click play on the following audio player to listen along as you read this section.<\/p>\n