Question

The volume of a cuboid is 1728 cm cube if its height and length are 12 cm and 0.08 m respectively ,find its breath and surface area. ​

Answer 1

A n s w e r

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G i v e n

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• Volume of a cuboid is 1728 cu. cm

• Height of cuboid is 12 cm

• Length of cuboid is 0.08 m

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F i n d

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• Breadth of cuboid

• Surface area of cuboid

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S o l u t i o n

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• Let 'x' be the breadth of cuboid

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We know that ,

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

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➠ V = l × b × h ⚊⚊⚊⚊ ⓵

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Where ,

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• V = Volume of cuboid

• l = Length of cuboid

• b = Breadth of cuboid

• h = Height of cuboid

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$\underline{ \underline{\bold{\texttt{For the given cuboid :}}}}$

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• V = 1728 cu. cm.

• l = 8 cm

• b = x

• h = 12 cm

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⟮ Putting the above values in ⓵ ⟯

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: ➜ V = l × b × h

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: ➜ 1728 = 8 × x × 12

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: ➜ $\sf x = \dfrac { 1728 } { 8 \times 12 }$

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: : ➨ x = 18 cm

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• Hence the breadth is 18 cm

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$\underline{ \underline{\bold{\texttt{Total surface area of cuboid :}}}}$

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➠ 2(lb + bh + lh) ⚊⚊⚊⚊ ⓶

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• l = Length of cuboid

• b = Breadth of cuboid

• h = Height of cuboid

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$\underline{ \underline{\bold{\texttt{For the given cuboid :}}}}$

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• l = 8 cm

• b = 18 cm

• h = 12 cm

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⟮ Putting the above values in ⓶ ⟯

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: ➜ 2(lb + bh + lh)

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: ➜ 2(8(18) + 18(12) + 8(12))

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: ➜ 2(144 + 216 + 96)

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: ➜ 2(456)

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: : ➨ 912 sq. cm.

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• Hence the total surface area of cuboid is 912 sq.cm.

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