Question

The edge of the cube was measured with the accuracy of up to 0.02 cm and is equal to 8 cm. Determine the absolute error during the calculation of the cube volume

Answer 1

Answer:

Correct option is

C

3/2

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.

Explanation:

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