Question

the length ,breadth and thickness of block is measured to be 50cm ,1.00cm,2.00cm then percentage error in the measurements of volume is​

Answer 1

Hii Dear,

◆ Answer -

Percentage error in measurement of volume = 15.2 %

● Explanation -

Error in measurements will depend on the least count of the instrument used.

As you haven't given any specific value, I'll use LC of standard scale. i.e. LC = 0.1 cm.

Relative error in measurement of volume will be -

∆V/V = ∆l/l + ∆b/b + ∆t/t

∆V/V = 0.1/50 + 0.1/1 + 0.1/2

∆V/V = 0.152

Percentage error in measurement of volume is -

∆V/V % = 0.152 × 100 %

∆V/V % = 15.2 %

Thanks dear.