{"id":2509,"date":"2021-10-04T03:50:29","date_gmt":"2021-10-04T03:50:29","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2509"},"modified":"2022-01-02T07:19:17","modified_gmt":"2022-01-02T07:19:17","slug":"cube-root-of-216-value-and-calculation","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-216-value-and-calculation\/","title":{"rendered":"Cube root of 216- value and calculation"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.6″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.10.8″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

Cube root of 216- value and calculation<\/strong><\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.11.3″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” header_3_text_color=”#7F7F7F” custom_padding=”15px|15px||4px|false|false” global_colors_info=”{}”]On multiplying a number three times by itself, the resultant number is the cube of that number. The cube root is the inverse function of the cube i.e, the number which is multiplied thrice is the cube root of the resultant number. The symbol of the cube root is denoted by \u221b. So, In this article, we will discuss the cube root of 216 and the prime factorisation method to find its cube root.<\/p>\n

 <\/p>\n

CUBE ROOT OF 216<\/strong><\/h2>\n

The cube root of 216 is equal to 6. This means that when we multiply the number 6 three times by itself, we get the product 216.<\/p>\n

How to find the cube root?<\/strong><\/h3>\n

To find the cube root of a number, we can use the prime factorisation method. By evaluating the prime factors we will make the groups of threes of the same digits and the cube is eliminated by the cube root. This is the easiest method to find the cube root of any number.<\/p>\n

How to calculate the cube root of 216?<\/strong><\/h2>\n

On performing the prime factorisation of 216, we get- 2\u00d73\u00d72\u00d73\u00d72\u00d73.<\/p>\n

The groups of threes of the same factors = 23<\/sup>\u00d733<\/sup><\/p>\n

On applying the cube root, we get \u221b(2\u00d73)3<\/sup> =\u00a0 \u221b63<\/sup>, which is equal to 6.<\/p>\n

Hence, 6 is the cube root of 216.<\/p>\n

\u200b<\/h2>\n

[\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Sample Questions
\n” _builder_version=”4.10.8″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”28px” custom_padding=”|0px||4px|false|false” disabled=”on” global_colors_info=”{}”]<\/p>\n

Practice Multiple Choice Questions<\/h1>\n

[\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Question 1″ _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” custom_padding=”25px|25px|25px|25px|true|true” border_radii=”on|15px|15px|15px|15px” border_width_all=”2px” border_color_all=”#000000″ border_width_top=”4px” border_color_top=”#E02B20″ disabled=”on” global_colors_info=”{}”]<\/p>\n

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Questions<\/strong><\/p>\n

Q3. When 216 is divided by 27, we get the cube of which number.<\/span><\/p>\n

Sol. The prime factors of <\/span><\/p>\n

216 = 2<\/span>3<\/span>\u00d73<\/span>3<\/span><\/p>\n

= 8\u00d727<\/span><\/p>\n

When 216 is divided by 27 =<\/span> 8\u00d727<\/span>27<\/span><\/p>\n

=\u00a0 8 = 2\u00d72\u00d72<\/span><\/p>\n

= 2<\/span>3<\/span>\u00a0<\/span><\/p>\n

Hence, when 216 is divided by 27, we will get the cube of 2 i.e, 8.<\/span><\/p>\n<\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
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Explore Other Topics<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
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Related Concepts<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Cube and Cube roots<\/a><\/div>\n
Cube root of a number by long division method<\/a><\/div>\n
Cube root of 343<\/a><\/a><\/div>\n<\/div>\n

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Frequently Asked Questions<\/h1>\n

Q1. How many real cube roots does 216 have?<\/p>\n

Ans. Every real number has only one cube root so 216 is a real number, it has only one cube root which is 6.<\/p>\n

 <\/p>\n

Q2. Is the cube root of 216 irrational?<\/p>\n

Ans. The cube root of 216 is 6, which is a rational number as it can be written in the form of<\/p>\n

and q\u22600. Therefore, the cube root of 216 is not an irrational number.<\/p>\n

 <\/p>\n

Q3. When 216 is divided by 27, we get the cube of which number.<\/p>\n

Sol. The prime factors of 216 = 23<\/sup>\u00d733<\/sup><\/p>\n

= 8\u00d727<\/p>\n

When 216 is divided by 27 = 216\/27<\/p>\n

=\u00a0 8 = 2\u00d72\u00d72<\/p>\n

= 23<\/sup><\/p>\n

Hence, when 216 is divided by 27, we will get the cube of 2 i.e, 8.[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

We will use the prime factorization method to get the cube root of 216
\n The prime factors of 216 = 23\u00d733 = \u221b(2\u00d73)3 = \u221b63 which is equal to 6<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"\nCube root of 216- value and calculation - mydomain<\/title>\n<meta name=\"description\" content=\"We will use the prime factorization method to get the cube root of 216 The prime factors of 216 = 23\u00d733 = \u221b(2\u00d73)3 = \u221b63 which is equal to 6.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-216-value-and-calculation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cube root of 216- value and calculation - 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