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A material will float on the surface of a liquid if the material has a density less than that of the 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 10^4 in^3 and weighing 350 lb float or sink when placed in a reservoir of water? [I just don't want the answer, I'd like to know how to solve this, please.]

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Hagrid
Given:
density of water is approximately 1.0 g/mL
block of material
volume of 1.2 x 10^4 in^3
and weighing 350 lb

Required:
Which will float

Solution:
D = M/V where D is density, M is mass and V is volume

convert 1.2 x 10^4 in^3 into mL
1.2 x 10^4 in^3 (16.39 mL/ 1 in3) = 196,980 mL

convert 350 lb into grams
350 lb (454 grams/1 lb) = 158,900 grams

D = M/V = 158,900 grams/ 196,980 mL
D = 0.807 g/mL

The block will float in water because it is less dense than water
pstnonsonjoku

Density is defined as the ratio of mass to volume of a substance.

The density of water is generally known to be 1.0 g/mL. Substances that are less dense than water will float on water while substances that are denser than water will sink in water.

We have to calculate the density of the block material in units of g/ml.

Volume of the block =[tex]1.2 x 10^4 in^3[/tex] = 19.66 mL

Mass of the block = 350 lb = 158757 g

Density of the block = [tex]\frac{mass}{volume}[/tex]

Density of block = [tex]\frac{158757 g}{ 19.66 mL}[/tex]

= 8075.13 g/mL

Hence the block material will sink in water.

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