{"id":5240,"date":"2021-12-04T07:13:48","date_gmt":"2021-12-04T07:13:48","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5240"},"modified":"2022-01-03T07:47:38","modified_gmt":"2022-01-03T07:47:38","slug":"csa-of-a-cuboid-formula-examples","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/csa-of-a-cuboid-formula-examples\/","title":{"rendered":"CSA of a cuboid – formula – examples"},"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=”4.11.3″ _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

CSA of a cuboid – formula – examples<\/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

CSA of a cuboid<\/b><\/h2>\n

A cuboid is a three-dimensional object having six rectangular faces in such a way that the opposite faces are identical.\u00a0<\/span><\/p>\n

The curved surface area of a cuboid is the total area of the faces excluding the top and the bottom face.<\/span><\/p>\n

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

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

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

Curved Surface Area<\/span><\/p>\n

= Area of faces of the cuboid excluding the top and the bottom face<\/span><\/p>\n

= Area of 4 faces<\/span><\/p>\n

= Area of front face + Area of Back face + Area of left-side face + Area of right-side face<\/span><\/p>\n

= (Length \u00d7 Height) + (Length \u00d7 Height) + (Breadth \u00d7 Height) + (Breadth \u00d7 Height)<\/span><\/p>\n

= 2 (Length \u00d7 Height) +2 (Breadth \u00d7 Height)<\/span><\/p>\n

= 2 \u00d7 Height \u00d7 ( Length + Breadth )<\/span><\/p>\n

= 2h (l + b)<\/span><\/p>\n

Hence the CSA of a cuboid is equal to 2h (l + b), where h, l and b are the height, length and breadth respectively.<\/span><\/p>\n

 <\/p>\n

Relation between CSA and TSA<\/b><\/h2>\n

CSA is the total area of the 4 faces whereas TSA is the total area of all the 6 faces<\/span><\/p>\n

CSA + Area of top face + Area of bottom face = TSA<\/span><\/p>\n

 <\/p>\n

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

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

1. Find the CSA of a cuboid having length, breadth and height as 4 cm, 5 cm and 3 cm respectively.<\/b><\/p>\n

Solution:<\/strong><\/p>\n

Length = l = 4 cm\u00a0<\/span><\/p>\n

Breadth = b = 5 cm<\/span><\/p>\n

Height = h = 3 cm<\/span><\/p>\n

C S A=2 h(l+b)=2 \\times 3(4+5)=6 \\times 9=54 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

Therefore, the curved surface area is equal to 54 \\mathrm{~cm}^{2}<\/span>.<\/span><\/p>\n

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

2. Find the height of a cuboid having CSA 72 \\mathbf{\\mathrm{cm}^{2}}<\/span><\/b>. The length and the breadth are 7 cm and 11 cm respectively<\/b><\/p>\n

Solution:<\/strong><\/p>\n

Length = l = 7 cm\u00a0<\/span><\/p>\n

Breadth = b = 11 cm<\/span><\/p>\n

Height = h\u00a0\u00a0<\/span><\/p>\n

Curved Surface area = 72 \\mathrm{cm}^{2}<\/span>.<\/span><\/p>\n

CSA = 2h (l + b)<\/span><\/p>\n

\u21d2 72 = 2h (7 + 11) = 2h (18) = 36h\u00a0<\/span><\/p>\n

\u21d2 h = \\frac{72}{36}<\/span> = 2 cm<\/span><\/p>\n

Therefore, the height of the cuboid is equal to 2 cm.<\/span><\/p>\n

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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

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

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

    Q1. What is the TSA of a cuboid?
    <\/strong><\/h3>\n

    Ans: <\/strong><\/span>It is the Total surface area of all the faces.\u00a0<\/span><\/p>\n

    TSA of cuboid = 2 (lh + bh + lb)<\/span><\/p>\n

    Here,<\/span><\/p>\n

    Length = l<\/span><\/p>\n

    Breadth = b<\/span><\/p>\n

    Height = h<\/span><\/span><\/p>\n

    Q2. What is CSA of a Cuboid?<\/strong><\/h3>\n

    Ans: <\/strong>It is the curved surface area of all the faces.\u00a0<\/span><\/p>\n

    CSA = 2h (l + b)<\/span><\/p>\n

    Here,<\/span><\/p>\n

    Length = l<\/span><\/p>\n

    Breadth = b<\/span><\/p>\n

    Height = h<\/span><\/span><\/p>\n

    Q3. What is the relation between CSA and TSA of a cuboid?<\/strong><\/h3>\n

    Ans:\u00a0 <\/strong>CSA is the total area of the 4 faces whereas TSA is the total area of all the 6 faces of the cuboid.<\/span><\/p>\n

    CSA + Area of top face + Area of bottom face = TSA<\/span><\/strong><\/p>\n

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

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