11. In Raiders of the Lost Ark, Indiana Jones tried to remove a gold idol from a trapped pedestal.
He replaces the idol with a bag of sand. If the idol has a mass of 2.00 kg, how many litres of sand must
he place on the pedestal to keep the mass sensitive trap from activating? (Density of sand is
3.00 g/ml)

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Candace061504 Candace061504 · Answer 1 · 2022-09-08T02:10:29+02:00

Answer:

6.67×10^-7 Liters

Explanation:

Density is defined as the ratio of mass of a substance per its unit volume.

Density = Mass/volume

Volume = Mass/Density

Given mass of sand= 2.0kg

Density of sand = 3.0g/cm³

To ensure unit consistency, we can convert 2.0kg to grams

2.0kg = 2000grams

Volume = 2000g/3g/cm³

Volume = 666.67cm³

Converting the volume to m³

1m³ = 10^6cm³

y = 666.67cm³

Cross multiplying

10^6 ×y = 666.7 × 1

y = 666.7/10^6

y = 6.67×10^-4m³

Converting to liters

Since 1000m³ = 1 liters

6.67×10^-4m³ = L

1000L = 6.67×10^-4m³

L = 6.67×10^-4/1000

L = 6.67×10^-7 Liters

He must place 6.67×10^-7 Liters on the pedestal to keep the mass sensitive trap from activating