https://file.aiquickdraw.com/mathbot/file/1726541339764e62mqn27.jpg

Vb=27.9
sigma(l)=0.005
sigma(h)=0.003
sigma(w)=0.003
l=3.2782
h=5.0796
w=1.6794

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Here are a few relative questions that might be useful to explore further:
1. How does uncertainty propagation work in other types of formulas?
2. Can we use a similar method to estimate uncertainties for other physical quantities?
3. What role does the relative error play in such calculations?
4. How do the values of σ (sigma) impact the overall uncertainty result?
5. How would changing one of the dimensions (l, h, w) affect σ_B?

Tip: Understanding the propagation of uncertainties is key in experiments with multiple variables. Always assess how individual uncertainties contribute to the final result!

V_B=27.9, σ(l)=0.005, σ(h)=0.003, σ(w)=0.003, l=3.2782, h=5.0796, w=1.6794

This problem involves calculating the propagation of uncertainty for a volume measurement with known uncertainties in length, height, and width. Given V_B=27.9, l=3.2782, h=5.0796, and w=1.6794, and their respective uncertainties σ(l)=0.005, σ(h)=0.003, σ(w)=0.003, the goal is to compute the overall uncertainty σ_B.

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