{"id":45781,"date":"2025-07-01T11:41:33","date_gmt":"2025-07-01T11:41:33","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45781"},"modified":"2025-07-01T11:41:34","modified_gmt":"2025-07-01T11:41:34","slug":"convert-250-cm3-to-dm3-using-only-the-equalities-given","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-250-cm3-to-dm3-using-only-the-equalities-given\/","title":{"rendered":"Convert 250 cm3 to dm3 using only the equalities given"},"content":{"rendered":"\n<p>Convert 250 cm3 to dm3 using only the equalities given. (1 mL = 1 cm3; 1 L = 1 dm3; milli = 10-3)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert 250 cm\u00b3 to dm\u00b3, we can follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the Equalities<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 mL = 1 cm\u00b3 (since 1 milliliter is equal to 1 cubic centimeter)<\/li>\n\n\n\n<li>1 L = 1 dm\u00b3 (since 1 liter is equal to 1 cubic decimeter)<\/li>\n\n\n\n<li>milli = 10^-3 (which means 1 mL is 10^-3 L)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Start from the Given Value<\/h3>\n\n\n\n<p>We are given 250 cm\u00b3. Since 1 cm\u00b3 is equivalent to 1 mL, we can directly convert 250 cm\u00b3 to mL:250\u2009cm3=250\u2009mL250 \\, \\text{cm}^3 = 250 \\, \\text{mL}250cm3=250mL<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert mL to L<\/h3>\n\n\n\n<p>We know that 1 mL is equal to 10^-3 L (1 mL = 10^-3 L). To convert 250 mL to liters, we multiply by 10^-3:250\u2009mL\u00d710\u22123=0.25\u2009L250 \\, \\text{mL} \\times 10^{-3} = 0.25 \\, \\text{L}250mL\u00d710\u22123=0.25L<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Convert L to dm\u00b3<\/h3>\n\n\n\n<p>Since 1 L = 1 dm\u00b3 (1 liter is equal to 1 cubic decimeter), we can directly convert the result to dm\u00b3:0.25\u2009L=0.25\u2009dm30.25 \\, \\text{L} = 0.25 \\, \\text{dm}^30.25L=0.25dm3<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>Thus, 250 cm\u00b3 is equal to <strong>0.25 dm\u00b3<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>In this problem, we used the fact that cubic centimeters (cm\u00b3) and milliliters (mL) are equivalent. Then, we used the conversion factor to convert mL to liters, and finally, since 1 liter is equal to 1 cubic decimeter (dm\u00b3), we obtained the final result of 0.25 dm\u00b3. This method ensures that all units are consistent with the given equalities.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-74.jpeg\" alt=\"\" class=\"wp-image-45782\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-74.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-74-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-74-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-74-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert 250 cm3 to dm3 using only the equalities given. (1 mL = 1 cm3; 1 L = 1 dm3; milli = 10-3) The Correct Answer and Explanation is: To convert 250 cm\u00b3 to dm\u00b3, we can follow these steps: Step 1: Understand the Equalities Step 2: Start from the Given Value We are given [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-45781","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=45781"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45781\/revisions"}],"predecessor-version":[{"id":45783,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45781\/revisions\/45783"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45781"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}