Question

The percentage error in the measurement of
length of a cube is 2%, what will be percentage
error in the measurement of its volume
(a) 2% (b) 1%
(c) 4% (d) 6%

Answer 1

Explanation:

Volume of cube = x

3

Δx

Δv

=

2

3x

2

v

Δv

=

2

3x

2

x

3

Δx

⇒

v

Δv

×100%=

2

3

x

Δx

×100%

⇒(% error in volume)=

2

3

(% error in side of cube)

% error in volume =

2

3

(

2

1

)

∴ percentage error in volume ⇒

2

3

%(1.5%)

Option C is correct.

solution

Answer 2

Answer:

Explanation:

If the percentage error in the measurement of length of cube is 2%, the percentage error in the measurement of its volume will be = 2 × 2 = 4%. Hence, option (c) is correct.