The metre scale is used to measure the volume of a block. The measured length is 10 cm, breadth is 20 cm and height is 25 cm. The percentage error in the measurement of volume of a block is… (least count of metre scale = 1 mm)

Step-by-step solution

The volume of the block is given by V = L B H The maximum relative error in the measurement of volume is V V = L L + B B + H H Given L = 10 cm, B = 20 cm, H = 25 cm and the least count of the metre scale is L = B = H = 1 mm = 0.1 cm. Substituting the values: V V = 0.1 10 + 0.1 20 + 0.1 25 V V = 0.01 + 0.005 + 0.004 = 0.019 The percentage error in volume is V V 100 = 0.019 100 = 1.9 % Answer: 1.9 %