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.
WBBSE
Class X
Mathematics
Rectangular Parallelopiped or Cuboid
04 Mark
2022
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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