Question

find the height of a cuboid whose base area is 180 cm and volume is 900 cm.​

Answer 1

Given:

• Base area of the cuboid is 180 cm².
• Volume of cuboid is 900 cm³.

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To find:

• Height of the cuboid.

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Solution:

• Area of base of the cuboid is given by

★ length × breadth

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→ Length × Breadth = 180⠀⠀.... [1]

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Now, volume of a cuboid is written as

★ Length × Breadth × Height

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From [1] , we will put the value of area of base i.e , length × breadth, in the formula.

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→ Volume = length × breadth × height

→ 900 = 180 × height

→ height = 900/180

→ height = 5

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Hence,

• Height of the cuboid is 5 cm.

Answer 2

Given :-

• Base area of cuboid = 180 cm²
• Volume of cuboid = 900 cm³

To Find :-

• Height of the cuboid

Solution :-

$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

→ Base area of a cuboid

  = Length × Breadth = 180 cm²

→ Volume of a cuboid

 = Length × Breadth × Height = 900 cm³

→ In this formula we can put the value of ( Length × Breadth ) which is the area of the base of the cuboid .

$\sf \implies 180 \times Height = 900 ( Volume )$

$\sf \implies Height = \dfrac{900}{180} \; cm$

$\sf \implies Height = 5 \; cm$

∴ Height of the cuboid is 5 cm

More about Cuboid :-

★ Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

★  Lateral Surface area = 2 height(length + breadth)

★  Volume of the cuboid = (length × breadth × height)

★ Diagonal of the cuboid =√( l² + b² +h²)

★ Perimeter of cuboid = 4 (length + breadth + height)