5. Using a measuring tape with a least count of 0.1 cm, you measure a package yo

Question

5. Using a measuring tape with a least count of 0.1 cm, you measure a package you wish to ship and record the length, width, and height as 11.2 cm, 7.5 cm and 5.4 cm. The sum of the linear dimensions (length plus width plus height) is often used to calculate the shipping rate. Calculate the following values a. Sum of linear dimensions b. Probable percent error in length c. Probable percent error in height d. Probable percent error in width e. Probable error of the sum of linear dimensions f. Probable percent error of the sum of linear dimensions g. Volume of boxcm3 h. Probable percent error in volume of box i. Probable error in volume of box

Explanation / Answer

a)Sum of linear dimensions =24.1 cm

Percent error = (experimental value - theoretical value/ theorectical )* 100

b)Probable percent error in length =(0.1/11.2 )*100

=0.89

c)Percent error in height = (0.1/5.4) *100

=1.851

d)Percent error in width =(0.1/7.5)*100

=1.33

f)Probable error in sum of linear dimensions = (0.3/24.1)*100

= 1.244

g)Volume of box= length*breadth*height = 453.6 cm3

h)Probable percent error in volume = (0.3/453.6) * 100 =0.06613

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