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19. The dimensions of a slab were found to be10 cm + 0.1 cm, 8 cm + 0.1 cm, 5 cm +0.1 cm. CalculateCalculate its volume and thepercentage error in it​

Answer»

EXPLANATION:

VOLUME of a slab = l b h

in MEASUREMENT error is associated then the volume can be expressed in

V = V + ∆V

= ( 10 x 8 x 5) [ 1 + (0.1/10 +0.1/8 + 0.1/5)]

= 400 [ 1 + ( 1/100 + 1/80 +1/50)]

percentage error, ∆V/V x 100 = 0.1/10 x 100 + 0.1/8 x 100 + 0.1/5 x 100

= 1 + 5/4 + 2

= 5/4 + 3

= 17/4 %



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