Question

A metal cuboidal block with dimensions 2m x 1.5m x 22.5cm is melted and made into 200 cubes. What is the length of each cube?

Answer 1

No. of cubes= volume of metal block\volume of cube ... Length = l = 2.25 m = 225 cm ... Each side of the cube = a = 45 cm. If block is melted and cast into. Cubes

Answer 2

The length of each cube is 0.15 m

Step-by-step explanation:

Length of cuboidal block = 2m

Breadth of cuboidal block = 1.5 m

Height of cuboidal block = 22.5 cm= 0.225 m

Volume of cuboidal block = $Length \times Breadth \times Height = 2 \times 1.5 \times 0.225=0.675 m^3$

A metal cuboidal block with dimensions 2m x 1.5m x 22.5cm is melted and made into 200 cubes.

Volume of 1 cube =$\frac{0.675}{200}=0.003375 m^3$

Volume of cube = $Side^3$

So,$Side^3 =0.003375$

$Side=\sqrt[3]{0.003375}$

Side=0.15 m

Hence  the length of each cube is 0.15 m

#Learn more:

The dimensions of a metal block are 2.25m by 1.5m by 27cm.It is melted and recast into cubes,each of side 45cm.how many cubes are formed?

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