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

1 thought on “Area of the base of cuboid is 176 cm2 and it’s volume is 880 cm3. Find it’s height​”

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

   Need To Find : Height of Cuboid.

   ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

   ❍ 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]

   ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

   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]

   ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

   Reply