Question

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

Answer 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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