Question

A cuboid is 7 cm long ,4 cm wide and 3 cm heigh and a cude has an edge of 8 which one has greater volume and by how
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Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large\underline{\green{\bf Given :-}}$

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• A cuboid is 7 cm long ,4 cm wide and 3 cm high

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• Cube has an edge of 8 cm

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$\large\underline{\red{\bf To \: Find :-}}$

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• Which one has greater volume and how

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$\large\underline{\orange{\bf Solution :-}}$

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We know that ,

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$\underline{\bold{\texttt{Volume of cuboid :}}}$

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➠ l × b × h ⚊⚊⚊⚊ ⓵

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Where ,

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• l = Length

• b = Breadth

• h = Height

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$\underline{\bold{\texttt{Volume of given cuboid :}}}$

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• l = 7

• b = 4

• h = 3

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⟮ Putting these values in ⓵ ⟯

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➜ l × b × h

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➜ 7 × 4 × 3

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➜ 21 × 4

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➨ 84 cu. cm. ⚊⚊⚊⚊ (a)

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$\underline{\bold{\texttt{Volume of cube :}}}$

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➠ e × e × e ⚊⚊⚊⚊ ⓶

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Where ,

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• e = Edge of cube

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$\underline{\bold{\texttt{Volume of given cube :}}}$

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• e = 8

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⟮ Putting the value in ⓶ ⟯

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➜ e × e × e

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➜ 8 × 8 × 8

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➨ 512 cu. cm. ⚊⚊⚊⚊ (b)

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⟮ Comparing equation (a) & (b) ⟯

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We get,

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➠ 512 > 84

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Thus,

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〚Volume of Cube > Volume of Cuboid〛

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∴ The given cube has more volume than the given cuboid because the cube has greater dimensions than the cuboid

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Answer 2

$\huge\underline{\bf \orange{AnSweR :}}$

We know that ,

Volume of cuboid :

=> l × b × h ⚊⚊⚊⚊ ⓵

Where ,

l = Length

b = Breadth

h = Height

Volume of given cuboid :

l = 7

b = 4

h = 3

⟮ Putting these values in ⓵ ⟯

➜ l × b × h

➜ 7 × 4 × 3

➜ 21 × 4

➨ 84 cu. cm. ⚊⚊⚊⚊ (a)

Volume of cube :

=> e × e × e ⚊⚊⚊⚊ ⓶

Where ,

e = Edge of cube

Volume of given cube :

e = 8

⟮ Putting the value in ⓶ ⟯

➜ e × e × e

➜ 8 × 8 × 8

➨ 512 cu. cm. ⚊⚊⚊⚊ (b)

⟮ Comparing equation (a) & (b) ⟯

We get,

=> 512 > 84

Thus,

〚Volume of Cube > Volume of Cuboid〛

∴ The given cube has more volume than the given cuboid because the cube has greater dimensions than the cuboid.