Question

A side of a cube is measured as L = (4.4 ± 0.4) m. Calculate the percentage error in Volume of cube

Answer 1

Answer:

85.184 ± 23.232

Explanation:

So, To find the Volume of Cube given Side (4.4 ± 0.4)

First we Find the The volume without Error = 4.4 x 4.4 x 4.4 (Side³)

We get 85.184 as the True Value.

Now For Error, We have got a formula,

ΔV/V = 3 Δa/a (Where, Δa = Error in side, a = True Value of Side, ΔV = Error in Volume, V = True Value of Volume, Multiplied to 3 because of Cube)

∴ ΔV/85.184 = 3 x 0.4/4.4

We get, ΔV = 23.232

Final Answer, Volume of Cube = (85.184±23.232)