{"id":3167,"date":"2018-06-23T11:41:46","date_gmt":"2018-06-23T18:41:46","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3167"},"modified":"2023-08-06T13:58:56","modified_gmt":"2023-08-06T13:58:56","slug":"conversion-of-units-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/conversion-of-units-problems-and-solutions.htm","title":{"rendered":"Conversion of units \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

Problems and solutions about Conversion of units \u2013 problems and solutions<\/span><\/p>\n

1. Half a <\/span>liter <\/span>of fresh milk mixed with pudding sauce, then what is the volume of milk to be put in pudding sauce…<\/span><\/span><\/p>\n

A. 5000 ml<\/span><\/p>\n

B. 500 cc<\/span><\/p>\n

C. 50 dm3<\/sup><\/span><\/p>\n

D. 5 m3<\/sup><\/span><\/p>\n

Known :<\/u><\/span><\/p>\n

Volume of milk = 0.5 liter<\/span><\/p>\n

Wanted<\/u> :<\/u> 0.5 liter = ….. ml = ….. cm3<\/sup> (cc) = ….. dm3<\/sup> = ….. m3 <\/sup><\/span><\/p>\n

Solution :<\/u><\/span><\/p>\n

1 liter = 1000 milliliter (1000 ml)<\/span><\/p>\n

1 liter = 0.001 m3 <\/sup>= 1 dm3 <\/sup>= 1000 cm3 <\/sup>(1000 cc)<\/span><\/p>\n

0.5 liter = (0.5)(1000 ml) = 500 ml <\/span><\/p>\n

0.5 dm3<\/sup> = (0.5)(1000 cc) = 500 cc <\/span><\/p>\n

0.5 liter = 0.5 dm3 <\/sup>= 0.0005 m3<\/sup> <\/span><\/p>\n

The correct answer is B. <\/span><\/p>\n

2. If into 100 milliliters of liquid milk added 250 cc of water then how many mixtures are produced<\/span>.<\/span><\/span><\/p>\n

A. 12.5 dm3<\/sup><\/span><\/p>\n

B. 1.25 dm3<\/sup><\/span><\/p>\n

C. 3.5 dm3<\/sup><\/span><\/p>\n

D. 0.35 dm3<\/sup><\/span><\/p>\n

Known :<\/u><\/span><\/p>\n

Volume of milk = 100 ml<\/span><\/p>\n

Volume of water = 250 cc = 250 cm3<\/sup><\/span><\/p>\n

Wanted<\/u> :<\/u> 100 ml + 250 cc = ….. dm3<\/sup><\/span><\/p>\n

Solution :<\/u><\/span><\/p>\n

ml = milliliter<\/span><\/p>\n

cc = cm3<\/sup> = cubic centimeter<\/span><\/span><\/p>\n

dm3<\/sup> = cubic <\/span>deci<\/span>meter<\/span><\/span><\/p>\n

1 dm3<\/sup> = 1 liter = 1000 milliliters so that 100 milliliters = 100\/1000 liters = 1\/10 liters = 0.1 liter = 0.1 dm3<\/sup><\/span><\/p>\n

1 dm3<\/sup> = 1000 cm3<\/sup> so that 250 cm3<\/sup> = 250\/1000 dm3<\/sup> = 1\/4 dm3<\/sup> = 0.25 dm3<\/sup> <\/span><\/p>\n

100 ml + 250 cm3<\/sup> = 0.1 dm3<\/sup> + 0.25 dm3<\/sup> = 0.35 dm3<\/sup> <\/span><\/p>\n

The correct answer is D. <\/span><\/p>\n

3. A classroom whose length is 10 m and its width is 8 m, <\/span>using ceramic as its floor<\/span>. The size of the ceramic is 20 cm x 20 cm. The amount of ceramics on the floor in the room is ….<\/span><\/span><\/p>\n

A. 20 <\/span><\/p>\n

B. 200<\/span><\/p>\n

C. 2000<\/span><\/p>\n

D. 20000<\/span><\/p>\n

Known :<\/u><\/span><\/p>\n

The size of a room :<\/span><\/p>\n

Length = 10 meters<\/span><\/p>\n

Width = 8 meters<\/span><\/p>\n

Area of a room = 10 m x 8 m = 80 m2<\/sup> <\/span><\/p>\n

The size of a ceramic :<\/span><\/p>\n

Length = 20 cm<\/span><\/p>\n

Width = 20 cm<\/span><\/p>\n

Area of a ceramic = 20 cm x 20 cm = 400 cm2<\/sup><\/span><\/p>\n

Wanted : The number of ceramic used as the floor<\/span><\/p>\n

Solution :<\/u><\/span><\/p>\n

1 m = 100 cm<\/span><\/p>\n

1 m2<\/sup> = 10,000 cm2<\/sup><\/span><\/p>\n

So 80 m2<\/sup> = 80 x 10,000 cm2<\/sup> = 800,000 cm2<\/sup> <\/span><\/p>\n

Number of ceramics = area of a room \/ area of a ceramic<\/span><\/p>\n

Number of ceramics = 800,000 cm2<\/sup> \/ 400 cm2<\/sup><\/span><\/p>\n

Number of ceramics = 2000<\/span><\/p>\n

The correct answer is C. <\/span><\/p>\n

4. Every second as much as 4 cc of water dripped from a aquarium <\/span>into <\/span>a 5 liter<\/span>s<\/span> container. The container is fully <\/span>filled during \u2026.. seconds.<\/span><\/span><\/p>\n

A. 125 seconds<\/span><\/p>\n

B. 200 seconds<\/span><\/p>\n

C. 1250 seconds<\/span><\/p>\n

D. 2000 seconds<\/span><\/p>\n

Known :<\/u><\/span><\/p>\n

1 liter = 1 dm3<\/sup> = 1000 cm3<\/sup> <\/span><\/p>\n

Volume of water = 4 cc = 4 cm3<\/sup><\/span><\/p>\n

Volume of container = 5 liters = 5 dm3<\/sup> = 5 x 1000 cm3<\/sup> = 5000 cm3<\/sup> <\/span><\/p>\n

Wanted:<\/u> Time interval the container full filled with water<\/span><\/p>\n

Solution :<\/u><\/span><\/p>\n

5000 cm3 <\/sup>\/ 4 cm3 <\/sup>= 1250 seconds<\/span><\/p>\n

The correct answer is C.<\/span><\/p>\n

5. Mother bought drinking water 2 gallons (1 gallon = 19 liters) with price <\/span>$2<\/span>. If the volume of <\/span>a cup <\/span>of water <\/span>is <\/span>200 ml, then <\/span>determine <\/span>the price of <\/span>a cup <\/span>of water.<\/span><\/span><\/p>\n

Known :<\/u><\/span><\/p>\n

1 gallon = 19 liters<\/span><\/p>\n

2 gallon = 2 x 19 liters = 38 liters<\/span><\/p>\n

1 liters = 1000 milliliters<\/span><\/p>\n

38 liters = 38 x 1000 milliliters = 38,000 milliliters<\/span><\/p>\n

1 glass of water = 200 milliliter<\/span><\/p>\n

Wanted :<\/u> Price of a cup of water<\/span><\/p>\n

Solution :<\/u><\/span><\/p>\n

2 gallon of water = 38 liters = 38,000 milliliters<\/span><\/p>\n

1 cup of water = 200 milliliters<\/span><\/p>\n

38,000 ml \/ 200 ml = 190<\/span><\/p>\n

In 2 gallon of water there are 190 cup of water.<\/span><\/p>\n

Price of 2 gallon of water = $2<\/span><\/p>\n

Price of 1 cup of water = $2 \/ 190 = $0.01<\/span><\/p>\n

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1. Problem:<\/strong> Convert 50 kilometers to miles. (1 mile \u2248 1.60934 km)<\/span><\/p>\n

Solution:<\/strong> 50 km \u00d7 (1 mile\/1.60934 km) = 31.07 miles.<\/span><\/p>\n

2. Problem:<\/strong> You have 2 liters of water. How many milliliters is that? (1 liter = 1,000 milliliters)<\/span><\/p>\n

Solution:<\/strong> 2 liters \u00d7 1,000 ml\/liter = 2,000 ml.<\/span><\/p>\n

3. Problem:<\/strong> A baby weighs 8 pounds 5 ounces. Convert this to grams. (1 pound = 453.59237 grams and 1 ounce = 28.3495 grams)<\/span><\/p>\n

Solution:<\/strong> 8 pounds \u00d7 453.59237 g\/pound + 5 ounces \u00d7 28.3495 g\/ounce = 3,628.73896 grams + 141.7475 grams = 3,770.48646 grams.<\/span><\/p>\n

4. Problem:<\/strong> A tank holds 100 gallons of water. Convert this to liters. (1 gallon \u2248 3.78541 liters)<\/span><\/p>\n

Solution:<\/strong> 100 gallons \u00d7 3.78541 liters\/gallon = 378.541 liters.<\/span><\/p>\n

5. Problem:<\/strong> Convert 250 centimeters to meters. (100 centimeters = 1 meter)<\/span><\/p>\n

Solution:<\/strong> 250 cm \u00f7 100 cm\/meter = 2.5 meters.<\/span><\/p>\n

6. Problem:<\/strong> A car travels at a speed of 55 miles per hour. Convert this speed to feet per second. (1 mile = 5,280 feet and 1 hour = 3,600 seconds)<\/span><\/p>\n

Solution:<\/strong> 55 miles \u00d7 5,280 feet\/mile \u00f7 3,600 seconds = 81.78 feet\/second.<\/span><\/p>\n

7. Problem:<\/strong> A recipe requires 200 grams of sugar. Convert this to ounces. (1 ounce \u2248 28.3495 grams)<\/span><\/p>\n

Solution:<\/strong> 200 grams \u00d7 (1 ounce\/28.3495 grams) = 7.055 ounces.<\/span><\/p>\n

8. Problem:<\/strong> A room has an area of 300 square feet. Convert this to square meters. (1 square foot \u2248 0.092903 square meters)<\/span><\/p>\n

Solution:<\/strong> 300 square feet \u00d7 0.092903 square meters\/square foot = 27.8709 square meters.<\/span><\/p>\n

9. Problem:<\/strong> You have a rope that is 150 inches long. Convert this to yards. (1 yard = 36 inches)<\/span><\/p>\n

Solution:<\/strong> 150 inches \u00f7 36 inches\/yard = 4.1667 yards.<\/span><\/p>\n

10. Problem:<\/strong> A bottle contains 500 milliliters of oil. Convert this to quarts. (1 quart \u2248 946.353 milliliters)<\/span><\/p>\n

Solution:<\/strong> 500 milliliters \u00d7 (1 quart\/946.353 milliliters) = 0.5283 quarts.<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Problems and solutions about Conversion of units \u2013 problems and solutions 1. Half a liter of fresh milk mixed with pudding sauce, then what is the volume of milk to be put in pudding sauce… A. 5000 ml B. 500 cc C. 50 dm3 D. 5 m3<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Conversion of units \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3167","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3167"}],"version-history":[{"count":3,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3167\/revisions"}],"predecessor-version":[{"id":8519,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3167\/revisions\/8519"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}