High School

A material will float on the surface of a liquid if the material has a density less than that of a liquid. Given that the density of water is approximately 1.0 g/mL, will a block of material having a volume of 1.2 x 10⁴ in³ and weighing 350 lb float or sink when replaced in a reservoir of water? Also, a. 2.89gal to milliliters b. 12.8L to gallons c. 908oz. to kg

Answer :

Final answer:

The block of material will float in water with a density of 1.7804 x 10⁻⁶ g/mL. 2.89 gallons is equal to 10.95 liters, 12.8 liters is equal to 3.38 gallons, and 908 oz. is equal to 25.747 kg.

Explanation:

To determine whether the block of material will float or sink in water, we need to compare its density to that of water. First, let's convert the volume of the block to milliliters: 1.2 x 10⁴ in³ = 1.967 x 10⁸ mL. The density of the block can be found by dividing its weight by its volume: 350 lb ÷ 1.967 x 10⁸ mL = 1.7804 x 10⁻⁶ g/mL.

The density of the block is significantly less than that of water (1.0 g/mL), which means it will float on the surface of the water.

a. 2.89 gallons is equivalent to 10.95 liters.

b. 12.8 liters is equivalent to 3.38 gallons.

c. 908 oz. is equivalent to 25.747 kg.

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