{"id":5676,"date":"2021-12-11T11:13:07","date_gmt":"2021-12-11T11:13:07","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5676"},"modified":"2022-01-02T13:48:12","modified_gmt":"2022-01-02T13:48:12","slug":"mensuration-formula-2d-and-3d-shapes","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/mensuration-formula-2d-and-3d-shapes\/","title":{"rendered":"Mensuration Formula – 2D and 3D shapes – PDF"},"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=”4.10.8″ _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=”4.13.1″ _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

Mensuration Formula – 2D and 3D shapes<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Mensuration<\/b>\u00a0<\/b>Formula<\/b>\u00a0<\/b>(2D<\/b>\u00a0<\/b>and<\/b>\u00a0<\/b>3D<\/b>\u00a0<\/b>shapes<\/b>)<\/b><\/h2>\n

<\/b><\/h3>\n

Definition:<\/h3>\n

Mensuration is the part of mathematics that deals with the length, area, and volume of different geometrical figures.<\/span><\/p>\n

<\/span><\/p>\n

Type of shapes and differences:<\/b><\/b><\/h2>\n

The two things that are broadly dealt with in Mensuration are two-dimensional figures and three-dimensional solids. The detailed description, along with their differences, is attached below:<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

Important terms:<\/b><\/h2>\n

<\/b><\/p>\n

\"\"<\/b><\/p>\n

<\/h2>\n

2D mensuration formula:<\/b><\/h2>\n

<\/b><\/p>\n

\"\"<\/b><\/p>\n

<\/b><\/p>\n

<\/b><\/h2>\n

Mensuration formula 3D:<\/b><\/h2>\n

<\/b><\/p>\n

\"\"<\/b><\/p>\n

<\/h2>\n

Solved Examples:<\/b><\/h2>\n

<\/b><\/p>\n

1. Calculate the area of a square with side 5 cm.<\/b><\/p>\n

The area of a square of side 5cm is A=L^{2}=5^{2}=25 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

<\/span><\/p>\n

2. Calculate the perimeter of a rectangle having a length of 10 cm and breadth of 5 cm.<\/b><\/p>\n

The perimeter of a rectangle with length 10 cm and breadth 5 cm is 2( l + b) = 2(10 + 5) = 30 cm.<\/span><\/p>\n

<\/span><\/p>\n

3. What is the area of a right-angled triangle with two of its perpendicular sides as 3 and 4 cm?<\/b><\/p>\n

The area of a right angled triangle with two of its perpendicular sides as 3 cm and 4 cm is:<\/span><\/p>\n

A = \u00bd x b x h = 0.5 x 3 x 4 = 6 \\mathrm{~cm}^{2}<\/span>.<\/span><\/p>\n

<\/span><\/p>\n

4. Calculate the volume of a cone having a radius of 7 cm and height of 5 cm?<\/b><\/span><\/p>\n

The volume of a cone with a radius of 7 cm and height of 5 cm is:<\/span><\/p>\n

(1 \/ 3) \\pi r^{2} h=256.67 \\mathrm{~cm}^{3}<\/span><\/span><\/p>\n

<\/span><\/p>\n

5. What is the total surface area and curved surface area of a cylinder with a radius of 14 cm and height of 10 cm?<\/b><\/p>\n

The total surface area of a cylinder with radius 14 cm and height 10 cm is: <\/span><\/p>\n

2 \\pi r h+2 \\pi r^{2}=2112 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

The curved surface area of a cylinder with radius 14cm and height 10cm is: <\/span><\/p>\n

2 \\pi r h=880 \\mathrm{~cm}^{2}<\/span><\/span><\/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
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

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
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

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
Area of Quadrilateral<\/a><\/div>\n
Area of Square<\/a><\/div>\n
Area of Rhombus<\/a><\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _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” collapsed=”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=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _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

\n
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Ready to get started ?<\/p>\n<\/div>\n

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Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n

[\/et_pb_text][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png” title_text=”down-circle” show_bottom_space=”off” align=”right” module_class=”img2″ _builder_version=”4.9.10″ _module_preset=”default” width=”44px” height=”18px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”FAQ Row” _builder_version=”4.9.11″ _module_preset=”default” width=”100%” max_width=”1310px” custom_padding=”|40px||40px|false|true” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”FAQ” module_class=”faqstyl” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_font=”|700|||||||” header_text_align=”center” header_line_height=”2.5em” background_color=”#dbedc6″ max_width=”80%” module_alignment=”center” custom_margin=”||||false|false” custom_padding=”30px|25px|30px|25px|true|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”]<\/p>\n

Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    Q1. What is the area of a square with side \u2018a\u2019 cm?
    <\/strong><\/h3>\n

    Ans: <\/strong>The area of a square with side \u2018a\u2019 cm is a^{2}<\/span>.
    <\/strong><\/span><\/span><\/p>\n

    Q2. What is the area of a circle with radius \u2018r\u2019 cm?
    <\/strong><\/h3>\n

    Ans: <\/strong>The area of a circle with radius \u2018r\u2019 cm is \\pi r^{2} <\/span>.<\/strong><\/p>\n

    Q3. What is the formula for calculating volume of a cube with side ‘a’?<\/strong><\/h3>\n

    Ans: <\/strong>The volume of a cube is equal to\u00a0 {\\text {a}}^3<\/span><\/span>\u00a0where \u2018a\u2019 is the length of each side of the cube.\u00a0<\/span><\/span><\/p>\n

    Q4. What is the formula for calculating the volume of a sphere having a radius \u2018r\u2019?<\/strong><\/h3>\n

    Ans: <\/strong>The volume of a sphere with radius \u2018r\u2019 is (4\/3) \\pi r^{3}<\/span>.<\/span><\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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