WBBSEClass XMathematicsRectangular Parallelopiped or Cuboid04 Mark2022 Moderate

QQuestion

The inner length, breadth, and height of a tea box are 7.5 dm, 6 dm, and 5.4 dm respectively. If the weight of the box filled with tea is 52 kg 350 gm, but in the empty state, its weight is 3.75 kg, then calculate the weight of 1 cubic dm of tea.

Exam-ready answer 04 Mark

Answer

Inner dimensions: 7.5 dm × 6 dm × 5.4 dm

Volume of tea box = 7.5 × 6 × 5.4 = 243 dm³

Weight filled = 52 kg 350 g = 52.35 kg

Empty weight = 3.75 kg

Weight of tea = 52.35 − 3.75 = 48.60 kg

Weight per 1 dm³ = \frac{48.6}{243} kg

= 0.2 kg

= 200 g

∴ 0.2 kg (200 g) per cubic dm

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