Question

In Raiders of the Lost Ark, Indiana Jones tried to remove a gold idol from a bo0by trapped pedestal. He replaces the idol with a bag of sand. If the idol has a total mass of 2.00 kg, how many liters of sand must he place to keep the mass sensitive trap from activating? (Density of sand is 3.00 g/cm^3)

Answer 1

The volume (in liters) of the sand that must be placed to keep the mass sensitive trap from activating is 0.667 L

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

With the above formula, we can determine the volume of the sand. Details below:

How to determine the volume of the sand

• Mass of sand = 2 Kg = 2 × 1000 = 2000 g
• Density of sand = 3 g/cm³
• Volume of sand =?

The volume of the sand can be obtained as follow:

Density = mass / volume

Thus,

Volume = mass / density

Volume of sand = 2000 / 3

Volume of sand = 666.67 cm³

Divide by 1000 to express in liter

Volume of sand = 666.67 / 1000

Volume of sand = 0.667 L

Thus, the volume of the sand is 0.667 L

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