Side of a cube is measured …

Side of a cube is measured with 2% error. Find error in its volume.
  • 3 answers

Ishita Verma 1 month, 3 weeks ago

Volume =a³ So V=3×2 =6%

Gaurav Seth 1 month, 3 weeks ago

Given:

Percentage error in measurement of side of cube = 2 %

i.e., (Δa/a) × 100 = 2 %

To Find:

Percentage error in the volume and area of cube.

Calculation:

- Area of cube, A = a²

⇒ Percent error in area is given by

(ΔA/A) × 100 =2 (Δa/a) × 100

⇒ (ΔA/A) × 100 = 2 × 2

⇒ (ΔA/A) × 100 = 4 %

- Volume of cube, V = a³

⇒ Percent error in volume is given by

(ΔV/V) × 100 = 3 (Δa/a) × 100

⇒ (ΔV/V) × 100 = 3 × 2

⇒ (ΔV/V) × 100 = 6 %

- Thus, % error in area and volume is 4 % and 6 % respectively.

Rupam Vishwakaram 1 month, 3 weeks ago

The error will be 4%

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