# 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 .

$$\dag{\frak{\underline { As,\:We\:Know\:That\::}}}\\$$

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

Where ,

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

⠀⠀⠀⠀⠀⠀$$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$$

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

Therefore,

⠀⠀⠀⠀⠀$$\therefore {\underline{ \mathrm {Hence,\: Height \:of\:Cuboid \:is\:\bf{5\: cm}}}}\\$$

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

$$\dag{\frak{\underline { As,\:We\:Know\:That\::}}}\\$$

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

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

⠀⠀⠀⠀⠀⠀$$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$$

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

⠀⠀⠀⠀⠀$$\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\$$

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