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  • Explain solution RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 16 maths

Explain solution RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 16 maths

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Answer: 0.03 x^{3} m^{3}

Hint: Here we use the formula of a cube of side x is given by v=x^{3}

Given: 1% increasing

Solution:\left(\frac{d v}{d r}\right) \Delta x

\begin{aligned} &=3 x^{2} \Delta x \\\\ &=3 x^{2} \times 0.01 x \\\\ &=0.03 x^{3} \end{aligned}

⇒ hence the approximate change in the volume of the cube is 0.03 x^{3} m^{3}

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