Question

The dimensions of a rectangular block measured with callipers having least count of 0.01 cm are 5mm x 10mm x 5 mm. The maximum percentage error in the measurement of the volume of the block is

• A. 5%
• B. 10%
• C. 15%
• D. 20%

Answer 1

The correct option is A 5%

Given : $l=10mm=1cm$ $b=5mm=0.5cm$ $h=5mm=0.5cm$

Error in the measurements $\Delta l=\Delta b=\Delta h=0.01cm$

Maximum percentage error in volume $\frac{\Delta V}{V}\times 100=\frac{\Delta l}{l}\times 100+\frac{\Delta b}{b}\times 100+\frac{\Delta h}{h}\times 100$

$⟹\frac{\Delta V}{V}\times 100=\frac{0.01}{1}\times 100+\frac{0.01}{0.5}\times 100+\frac{0.01}{0.5}\times 100=5$ %

Correct answer is option A.