Side of a cube is measured …
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Posted by Nandini Rathour 3 years, 8 months ago
- 3 answers
Gaurav Seth 3 years, 8 months 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.
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Ishita Verma 3 years, 8 months ago
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