{"id":3191,"date":"2021-10-13T06:59:35","date_gmt":"2021-10-13T06:59:35","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=3191"},"modified":"2022-01-02T06:16:26","modified_gmt":"2022-01-02T06:16:26","slug":"volume-of-a-cuboid","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/volume-of-a-cuboid\/","title":{"rendered":"VOLUME OF A CUBOID"},"content":{"rendered":"

[et_pb_section fb_built=”1″ 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” 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|0px|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
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VOLUME OF A CUBOID <\/strong><\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_text_color=”gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607″ header_3_text_color=”#777777″ custom_padding=”|15px||4px|false|false” global_colors_info=”{%22gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607%22:%91%22header_2_text_color%22%93}”]<\/p>\n

VOLUME OF A CUBOID<\/strong><\/h2>\n

The volume of a cuboid is simply the space occupied by it.<\/em><\/strong> A cuboid is a three-dimensional shape that has rectangles as its faces. It has a length, breadth and height. It has 6 faces and the opposite faces of a cuboid are equal. The volume of a cuboid is\u00a0 (length x breadth x height).<\/em><\/strong><\/p>\n

 <\/p>\n

\"\"<\/p>\n

DERIVATION OF THE FORMULA OF VOLUME OF A CUBOID<\/strong><\/h3>\n

It is easy to derive the formula of a volume of a cuboid. Consider a rectangular sheet of paper of length \u2018l\u2019 millimetre and breadth \u2018b\u2019 millimetre. Now, let us stack such 50 sheets on top of each other and form a pile. If each sheet is 1 millimetre thick, then after piling 50 such sheets, the height of the pile becomes 50 millimetres.<\/p>\n

The volume of the cuboid formed can be simply interpreted as the space occupied by the pile of sheets with length \u2018l\u2019, breadth \u2018b\u2019 and height 50 millimetres.<\/p>\n

Therefore, the formula for the volume of a cuboid is( length x breadth x height).<\/p>\n

Also, it is important to note that the unit of the volume is unit<\/span>3<\/sup><\/p>\n

Let us solve a few problems<\/strong><\/h3>\n

Q1<\/strong>. The length of a cuboidal box is 15 cm with a breadth of 10 cm. The height of the cuboid is 100 mm. Calculate the volume of the box?<\/p>\n

Ans: The height of the cuboid is in millimetres so we will first convert it to cm to make our calculations possible.<\/p>\n

Height = 100 m = 100\/10 = 10 cm<\/p>\n

Length = 15 cm<\/p>\n

Breadth = 10 cm<\/p>\n

Volume = length x breadth x height<\/p>\n

Volume = 15 x 10 x 10 = 1500 cm3<\/sup><\/strong><\/p>\n

 <\/p>\n

Q2.<\/strong> Suppose that the volume of a cuboid is 3000 inch3<\/sup> . The length is 10 inches and the breadth is 15 inches. Find its height.<\/p>\n

Ans. Volume = length x breadth x height<\/p>\n

3000 = 10 x 15 x h<\/p>\n

3000\/150 = h<\/p>\n

20 = height<\/strong><\/p>\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

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Surface Area and Volume Formula<\/a><\/div>\n
Units of Volume<\/a><\/div>\n
Volume of Cube and Cuboid<\/a><\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.9.11″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” module_class=”img1″ _builder_version=”4.9.10″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n

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Frequently Asked Questions<\/h1>\n

1. What is the volume of a cuboid?<\/strong><\/p>\n

Ans:<\/u><\/em><\/strong> The volume of a cuboid is the space occupied by it and is calculated using the formula<\/p>\n

Volume = length x breadth x height<\/p>\n

2. What is the unit of volume?<\/strong><\/p>\n

Ans:<\/u><\/em><\/strong> The unit of volume is unit3<\/sup>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

VOLUME OF A CUBOID VOLUME OF A CUBOID The volume of a cuboid is simply the space occupied by it. A cuboid is a three-dimensional shape that has rectangles as its faces. It has a length, breadth and height. It has 6 faces and the opposite faces of a cuboid are equal. The volume of […]<\/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":"\nVOLUME OF A CUBOID - mydomain<\/title>\n<meta name=\"description\" content=\"Learn that the volume of a cuboid is the space taken by it and derive the formula of the volume of a cuboid through an example\" \/>\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\/volume-of-a-cuboid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"VOLUME OF A CUBOID - mydomain\" \/>\n<meta property=\"og:description\" content=\"Learn that the volume of a cuboid is the space taken by it and derive the formula of the volume of a cuboid through an example\" \/>\n<meta property=\"og:url\" content=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/volume-of-a-cuboid\/\" \/>\n<meta property=\"og:site_name\" content=\"mydomain\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-02T06:16:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled-300x193.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\",\"name\":\"mydomain\",\"description\":\"Just another WordPress site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/volume-of-a-cuboid\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled-300x193.png\",\"contentUrl\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled-300x193.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/volume-of-a-cuboid\/#webpage\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/volume-of-a-cuboid\/\",\"name\":\"VOLUME OF A CUBOID - 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