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The crew of the TV show Fear Factor are trying to design a challenge where a con

ID: 887916 • Letter: T

Question

The crew of the TV show Fear Factor are trying to design a challenge where a contestant has to dive into a tank containing a substance designed to resemble bovine blood and retrieve a small necklace from the bottom of the tank. In order to construct a safe platform for the set, the crew needs to calculate the mass of the blood-like substance. The substance has a density

of 1.06 g/cm3. If they were to construct a 2.00 ft. x 4.00 ft. x 6.00 ft. glass tank for the show, what would the blood-like substance weigh if the tank were filled to the top of the tank? 2.54 cm=1in;1kg=2.205lbs; and1ft=12in.

Explanation / Answer

volume of the tank = 2.00 ft. x 4.00 ft. x 6.00 ft. = 48 ft.3

1 ft3 = 28 316.84 cm3

=> volume of the tank = 48 x 28316.84 cm3 = 1359208.32 cm3

given that, density = 1.06 g/cm3

=> mass = density x volume = 1.06 x 1359208.32 = 1440760.8 g

=> mass = 1440.76 kg

mass of blood-like substance = 1440.76 kg   <<<<<<<<-------------(ANSWER)

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