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A solid ball with a volume of 0.1 m^3 is made of a material with a density of 31

ID: 1643451 • Letter: A

Question

A solid ball with a volume of 0.1 m^3 is made of a material with a density of 3100 kg/m^3. What is the mass of the ball? 310 kg What is the mass of a lead sinker with a volume of 8 cm^3? 90.4 g Given that most people are just about neutrally buoyant, it is reasonable to estimate the density of the human body to be about that of water. Use this volume of an 70 kg person. 70 m^3 A cube with a mass of 40 g is made from a metal with a density of 5 g/cm^3. What is the volume of the cube and the length of each edge? volume _______ cm^3 length _______ cm

Explanation / Answer

# Mass of man (M) = 70 kg

Density of water (d) = 1000 kg/cm3

If people are buoyant neutral so density of Man will also be 1000 kg/cm3

so volume of man = mass / density

   volume of man = 70 / 1000 = 0.070 m3 = 70 liter

# mass of cube (m) = 40 g

density of cube (d) = 5 g/cm3

so volume of cube (V) = mass / density

= 40 / 5 = 8 cm3

volume of cube = 8 cm3

and volume = ( side length of cube )3

8 = ( side lenth of cube)3

so side length of cube = 2 cm

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