19. The dimensions of a slab were found to be
10 cm + 0.1 cm, 8 cm + 0.1 cm, 5 cm +
0.1 cm. Calculate
Calculate its volume and the
percentage error in it
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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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