The length l,breadth b,and thickness t of a b | vedclass

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(B) The volume of the block is given by $V = l 	imes b 	imes t$.The relative error in volume is given by $\frac{\Delta V}{V} = \frac{\Delta l}{l} +

Vedclass · Accepted Answer

$0.36$

Vedclass · Answer

(B) The volume of the block is given by $V = l 	imes b 	imes t$.The relative error in volume is given by $\frac{\Delta V}{V} = \frac{\Delta l}{l} + \frac{\Delta b}{b} + \frac{\Delta t}{t}$.The percentage error in volume is $\frac{\Delta V}{V} 	imes 100 = \left( \frac{\Delta l}{l} + \frac{\Delta b}{b} + \frac{\Delta t}{t} ight) 	imes 100$.Substituting the given values:$	ext{Percentage error} = \left( \frac{0.01}{15.12} + \frac{0.01}{10.15} + \frac{0.01}{5.28} ight) 	imes 100$.Calculating each term:$\frac{0.01}{15.12} 	imes 100 \approx 0.0661$$\frac{0.01}{10.15} 	imes 100 \approx 0.0985$$\frac{0.01}{5.28} 	imes 100 \approx 0.1894$Summing these values:$0.0661 + 0.0985 + 0.1894 = 0.3540$.Rounding to the appropriate significant figures,we get $0.36\%$.

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