Error Analysis of Cube Volume and Area – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Error Analysis

Error Analysis of Cube Volume and Area

The side of a cube is \( 2.00 + 0.01\text{ cm}\). The volume and total surface area of cube respectively are
\[ 8.00 + 0.12 cm^3,  24.0 + 0.24 cm^2\]
\[ 8.00 + 0.01 cm^3, 24.0 + 0.01 cm^2\]
\[8.00 + 0.04 cm^3, 24.0 + 0.06 cm^2\]
\[(8.00 + 0.03) cm^3, (24.0 + 0.02) cm^2\]

Solution:

Volume \(V = a^3 = 8.00\text{ cm}^3\), \(\Delta V = 3 V \frac{\Delta a}{a} = 0.12\text{ cm}^3\). Surface Area \(S = 6a^2 = 24.0\text{ cm}^2\), \(\Delta S = 2 S \frac{\Delta a}{a} = 0.24\text{ cm}^2\).

Leave a Reply

Your email address will not be published. Required fields are marked *