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the length , breadth and heigth of a re...

the length , breadth and heigth of a rectangular block of wood wre measured to be :
`l=12.13+- 0.02 cm , b= 8.16 +- .01 cm, h = 3.46 +-0.01 cm`
Determine the percentage error in the volume of the block .

A

0.0016

B

0.0012

C

0.0028

D

0.0058

Text Solution

Verified by Experts

The correct Answer is:
D
Volume of block KV=lbh . The percentage error in the volume is given by `(DeltaV)/(V)xx100=((Deltal)/(l)+(Deltab)/(b)+(Deltah)/(h))xx100`
`=((0.02)/(12.13)+(0.01)/(8.16)+(0.01)/(3.46))xx100`
`=(200)/(1213)+(100)/(816)+(100)/(346)`
`=0.1649+0.1225+0.2890`
`=0.58% ("Rounded off to two significant figures")`
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