Question

Please find the cost of the polishing surface of all the cubes formed at the rate of. 50 per square metre​

Answer 1

$\huge \fbox{ Answer }$

$\star$ Let's find the volume of the solid metallic cuboid.

$\bf{Dimensions:-}$

• Length = 72cm
• Breadth = 30cm
• Height = 75cm

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$\bf{Volume:-}$

$\bf \color{deeppink} \rightarrow \: 72cm \times 30cm \times 75cm$

$\bf \color{deeppink} \rightarrow \: 162000cm^{3}$

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$\star$ We melt it and recast it into cubes of side 6cm.

$\bf \: Volume \: of \: each \: cube :$

$\bf \color{blue} \rightarrow \: (6cm) ^{3}$

$\bf \color{blue} \rightarrow \:216 {cm}^{3}$

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$\star$ We now will find the number of cubes i. e.

$\bf \color{green} \rightarrow \: \frac{ \cancel{162000 {cm}^{3} }}{ \cancel{216 {cm}^{3}} }$

$\bf \color{green} \rightarrow750$

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$\star$ Now to find the cost of polishing of surfaces of all the cubes at $\bf \color{teal} rs. 1.50 per cm$

$\bf \: cost \: of \: polishing :$

$\bf \color{teal} \rightarrow \: 6(6 ^{2} ) \times 750 \times rs \: 1.5$

$\bf \color{teal} \rightarrow \: rs \: 243000$

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