{"id":2566,"date":"2021-10-04T06:16:48","date_gmt":"2021-10-04T06:16:48","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2566"},"modified":"2022-01-02T07:11:10","modified_gmt":"2022-01-02T07:11:10","slug":"cube-of-5-its-value-and-how-to-find-it","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-of-5-its-value-and-how-to-find-it\/","title":{"rendered":"Cube of 5- its value and how to find it"},"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
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Cube of 5- Its value and how to find it<\/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=”{}”]<\/p>\n

When a number is multiplied three times by itself, the answer we get is said to be the cube of that number. In this article, we are going to learn about the cube of 5 and the methods to find the cube of 5.<\/p>\n

Value of cube of 5<\/strong><\/h2>\n

Meaning<\/strong><\/h3>\n

The cube of a number is said to be the number multiplied three times by itself. For example the cube of 4 is 64( as 4 x 4 x 4 =64). The exponential form of the cube of a number is x3<\/sup> where x is any number.<\/p>\n

Method of finding cube of a number<\/strong><\/h2>\n

<\/strong><\/h3>\n

Method 1<\/strong><\/h3>\n

~Number ending with zero-:<\/p>\n

Firstly, we will find the cube of the number formed by the non-zero digits of the given number. Then, we will multiply that cube by 1000.<\/p>\n

For example-<\/p>\n

Cube of 50 = 53<\/sup>\u00a0x 1000<\/p>\n

= 125 x 1000<\/p>\n

= 125000<\/p>\n

\u00a0~ In the case of 5 it is multiplied three times by itself to obtain the cube, i.e, the cube of 5=\u00a0 5\u00d75\u00d75 =125<\/p>\n

 <\/p>\n

Method 2<\/strong><\/h3>\n

Under this method, we find a cube of a number by using two algebraic formulas-:<\/p>\n

(p + q)3<\/sup> = p3<\/sup> + q3<\/sup> + 3pq(p + q)\u00a0\u00a0 or\u00a0\u00a0 (p – q)3<\/sup> = p3<\/sup> – q3<\/sup>\u00a0– 3pq(p – q)<\/p>\n

\u00a0We can write 53<\/sup> as (3 + 2)3<\/sup><\/p>\n

On applying the first expression, we get<\/p>\n

(3 + 2)3<\/sup>\u00a0<\/sup>= 33<\/sup> + 23<\/sup>\u00a0+ 3\u00d73\u00d72(3 + 2)<\/p>\n

= 27 + 8 + 18\u00d75<\/p>\n

= 27 + 8 + 90<\/p>\n

= 125<\/p>\n

\u00a0We can write 53<\/sup> as (6 – 1)3<\/sup><\/p>\n

On applying the second expression<\/p>\n

(6 – 1)3<\/sup>= 63<\/sup> – 13<\/sup>\u00a0– 3\u00d76\u00d71(6 – 1)<\/p>\n

= 216 – 1 – 18\u00d75<\/p>\n

= 125<\/p>\n

\u200b<\/p>\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

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

What is the cube of negative 5?<\/span><\/p>\n

Ans The cube of -5 = -5\u00d7-5\u00d7-5<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= (-5)<\/span>3<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= -125.<\/span><\/p>\n

Hence, the cube of negative 5 is equal to negative 125.<\/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” locked=”off” 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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\n
Cube and cube roots<\/a><\/div>\n
Cube of 12<\/a><\/div>\n
Cubes of 1 to 30<\/a><\/a><\/div>\n<\/div>\n

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Frequently Asked Questions<\/h1>\n

Q1. Is it possible that the cube of an odd number is an even number?<\/p>\n

Ans No, it is not possible that the cube of an odd number is an even number. It must be noted that the cube of an odd number will be an odd number and the cube of an even number will be an even number.<\/p>\n

Q2. What is the cube of negative 5?<\/p>\n

Ans The cube of -5 = -5\u00d7-5\u00d7-5<\/p>\n

= (-5)3<\/sup><\/p>\n

= -125.<\/p>\n

Hence, the cube of negative 5 is equal to negative 125.<\/p>\n

Q3. Is 5 a rational number?<\/p>\n

Ans. Yes, 5 is a rational number as it can be written in the form of p\/q with p and q being integers and q is not equal to 0.<\/p>\n

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

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