Area of the base of cuboid is 176 cm2 and it’s volume is 880 cm3. Find it’s height​

Area of the base of cuboid is 176 cm2 and it’s volume is 880 cm3. Find it’s height​

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  1. Given : Area of the base of cuboid is 176 cm² and it’s volume is 880 cm³.

    Need To Find : Height of Cuboid.

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    ❍ Let’s Consider Height of Cuboid be h cm .

    [tex]\dag{\frak{\underline { As,\:We\:Know\:That\::}}}\\[/tex]

    [tex]\dag\:\boxed {\sf{ Volume _{(Cuboid)} = \bigg(Ar. \:of\:Base\times h \bigg)}}\\[/tex]

    Where ,

    • Ar. of Base is the Area of the Base of Cuboid.
    • h is the Height of Cuboid.
    • Volume of Cuboid is 880 cm³

    ⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\[/tex]

    [tex]:\implies \sf{ 880 = 176\times h }\\\\:\implies \sf{ \cancel {\dfrac{880}{176}} = h }\\\\\underline {\boxed{\pink{ \mathrm {  h = 5\: cm}}}}\:\bf{\bigstar}\\[/tex]

    Therefore,

    ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {Hence,\:  Height \:of\:Cuboid \:is\:\bf{5\: cm}}}}\\[/tex]

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    V E R I F I C A T I O N :

    [tex]\dag{\frak{\underline { As,\:We\:Know\:That\::}}}\\[/tex]

    [tex]\dag\:\boxed {\sf{ Volume _{(Cuboid)} = \bigg(Ar. \:of\:Base\times h \bigg)}}\\[/tex]

    Where ,

    • Ar. of Base is the Area of the Base of Cuboid 176 cm² .
    • h is the Height of Cuboid = 5 cm
    • Volume of Cuboid is 880 cm³

    ⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\[/tex]

    [tex]:\implies \sf{ 880 = 176\times 5 }\\\\\underline {\boxed{\pink{ \mathrm {  880cm^3 = 880\: cm^3}}}}\:\bf{\bigstar}\\[/tex]

    ⠀⠀⠀⠀⠀[tex]\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\[/tex]

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