Question

A cuboidal block of metal measuring 60cm*40cm×0.5m was melted and recast into cubical blocks each with an edge of length5 cm.find the number of cubes that can be made

Answer 1

$60 \times 40 \times 50 \div 6 \times 5 \times 5$

Answer 2

The number of cubes that can be made is approx 9.

Step-by-step explanation:

Given : A cuboidal block of metal measuring 60cm×40cm×0.5m was melted and recast into cubical blocks each with an edge of length 5 cm.

To find : The number of cubes that can be made  ?

Solution :

A cuboidal block of metal measuring 60cm×40cm×0.5m.

The volume of the cuboid is $V_C=60\times 40\times 0.5$

A cubical blocks each with an edge of length 5 cm.

The volume of the cube is $V_c=5\times 5\times 5$

$\text{Number of cubes }=\frac{\text{Volume of cuboid}}{\text{Volume of cube}}$

$\text{Number of cubes }=\frac{60\times 40\times 0.5}{5\times 5\times 5}$

$\text{Number of cubes }=9.6$

Therefore, the number of cubes that can be made is approx 9.

#Learn more

A cuboidal block of metal has dimensions 36cm by 32cm by 0.25m .It is melted and recast into cubes with an edge of 4cm find 1) how many such cubes can be made ? 2) what is the cost of silver coating the surfaces of the cubes at the rate of Rs 0.75 per square centimetre

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