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UPSC Prelims

Mathematics

Theme:

Volume and Surface Area / आयतन और पृष्ठीय क्षेत्रफल

Q38 2020, Volume and Surface Area

Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of P. Let u = m / x and v = n / y. Which one of the following is correct?

माना कि दो धातु के घनों P और Q के क्रमशः x, y आयतन है; m, n द्रव्यमान है। Q की प्रत्येक भुजा P की दोगुनी है और Q का द्रव्यमान P का दोगुना है। माना कि u = m / x और v = n / y है। निम्नलिखित में से कौन-सा सही है?

Explanation Please wait..

• It's given that each side of Q is two times that of P.

• Let's take the side of cube P as ‘a’. Then Volume of cube P is x = a3

• Then the side of cube Q as ‘2a’. Then Volume of cube Q is

y = (2a)3 = 8a3

• Also, we know mass of Q is two times that of P

Mass of P= m

Mass of Q, n = 2m

• According to question: u = m/x = m/ (a3)

• v = n/y = 2m/ (8a3) = m/ (4a3) = {m / (a3)} / 4 = u/4

• v = u/4

व्याख्या Please wait..

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