Question

A cuboidal iron piece of dimensions 12 m x 4 m x 40 cm was melted into
cubical iron pieces of side 4 cm each. How many pieces were made?​

Answer 1

Answer :-

Number of Pieces = 3,00,000

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To Find :-

• Number of Pieces made.

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Given :-

• Dimensions of Cuboidal iron pieces = 12 m × 4 m × 40 cm

• Dimension of Cubical iron piece = 4cm

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Step By Step Solution :-

• First step is to make all the value same.

Dimensions of Cuboidal iron piece

Length = 12m = 12 × 100 = 1,200 cm

Breadth = 4m = 4 × 100 = 400 cm

Height = 40 cm

Dimensions of 1 Cubical iron piece

Side = 4 cm

• Second step is to find the number of pieces that were made.

Now,

Volume of Cuboidal Iron piece = Cubical Iron pieces

[ Because cubical iron pieces are made up of a single Cubodial Iron Piece ]

Length × Breadth × Height = Side³ × number of iron pieces

So,

$\implies \cancel \cfrac{1200 \times 400 \times 40}{ 4 \times 4 \times 4} \\ \\ \implies300000$

Therefore the number of Pieces = 3,00,000

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