A rectangular metal slab of mass 33.333 g has its length 8.0 cm, breadth 5.0 cm and thickness 1mm. The mass is measured with accuracy up to 1 mg with a senstitive balance. The length and breadth are measured with a vernier calipers having a least count of 0.01 cm. The thickness is measured with a screwgauge of least count 0.01 mm. Calculate the percentage accuracy in density from above measurements.

Explanation

To calculate the percentage accuracy in density of the rectangular metal slab, we will follow these steps:

### Step 1: Identify the Given Values
- Mass (m) = 33.333 g
- Length (l) = 8.0 cm
- Breadth (b) = 5.0 cm
- Thickness (t) = 1 mm = 0.1 cm (since 1 mm = 0.1 cm)
- Accuracy in mass measurement (Δm) = 1 mg = 0.001 g
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