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The cube of a number is the product we get when the number is multiplied by itself three times. It is represented by the symbol x^3<\/span><\/span>\u00a0<\/span>(exponential form).<\/span><\/p>\n To find the cube of the number 4, we have to multiply 4 by itself three times as shown below.<\/span><\/p>\n Cube of 4=4^{3}<\/span><\/span><\/p>\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=4 \\times 4 \\times 4 <\/span> The product of 4 when multiplied by itself 3 times is equal to 64. Hence the value of 4^{3}<\/span> <\/span>is equal to 64.<\/span><\/p>\n We can also write that 4^{3}=64<\/span>.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n <\/p>\n 1. Find the value of 4^{3}<\/span>.<\/b><\/p>\n 4^{3}=4 \\times 4 \\times 4=16 \\times 4=64<\/span><\/b><\/p>\n Hence the value of 4^{3}<\/span> <\/b><\/span>is 64.<\/span><\/p>\n <\/span><\/p>\n 2. Find the value of 40^{3}<\/span>.<\/b><\/b><\/p>\n 40^{3}=(4 \\times 10)^{3}=4^{3} \\times 10^{3}<\/span><\/b><\/p>\n Putting the values of <\/span>4^{3} \\text { and } 10^{3}<\/span><\/b>:<\/p>\n 40^{3}<\/span> <\/b>= 64 \u00d7 1000 = 64000<\/span><\/p>\n Hence the value of 40^{3}<\/span> <\/b><\/span>is 64000.<\/span><\/p>\n \u00a0<\/span><\/p>\n 3. Find the value of 0.4^{3}<\/span>.<\/b><\/p>\n 0.4^{3}=\\left(\\frac{4}{10}\\right)^{3}=\\frac{4^{3}}{10^{3}}<\/span><\/b><\/p>\n Putting the values of 4^{3} \\text { and } 10^{3}<\/span>:<\/span><\/p>\n 0.4^{3}=\\frac{64}{1000}=0.064<\/span><\/span><\/p>\n Hence the value of 0.4^{3}<\/span> <\/span>is 0.064.<\/span><\/p>\n <\/span><\/p>\n 4. Find the volume of a cube having a side of 4 m?<\/b><\/b><\/p>\n Length of each side = 4 m<\/span><\/p>\n Volume of the cube =\\operatorname{side}^{3}=4^{3}=64 \\mathrm{~m}^{3}<\/span><\/span><\/p>\n <\/span><\/p>\n 5. Find the value of (-4)^{3}<\/span>.<\/b><\/p>\n(-4)^{3}=(4 \\times-1)^{3}=4^{3} \\times(-1)^{3}<\/span>\n Putting the values of 4^{3} \\text { and }(-1)^{3}<\/span>:<\/p>\n(-4)^{3}=64 \\times-1=(-64)<\/span>\n Hence the value of (-4)^{3} \\text { is }(-64)<\/span>.<\/span><\/p>\n <\/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 [\/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 [\/et_pb_text][et_pb_text admin_label=”Related Concepts [\/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 [\/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
\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=16 \\times 4=64<\/span>
<\/span>\u00a0
<\/span><\/p>\nApplications of\u00a0 <\/b>4^{3}<\/span><\/span><\/h3>\n
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Solved Examples<\/b><\/h2>\n
\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>\nExplore Other Topics<\/h1>\n
\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>\nRelated Concepts<\/h1>\n