Question

The density of osmium, which is the densest metal, is 22.57 g/cm^3. What is the mass of a block of osmium that measures 1.00 cm x 4.00 cm x 2.50 cm? Show your work.

Answer 1

Density = Mass / Volume
V = 1.00 * 4.00 * 2.50 = 10 cm³
22.57 g/cm³ = Mass / 10 cm³
M = 22.57 g/cm³ * 10 cm³
M = 225.7 g
Answer: The mass of the block of osmium is 225.7 g.

Answer 2

The mass of a block of osmium = 225.7 grams

Further explanation

Density is a quantity derived from the mass and volume

Density is the ratio of mass per unit volume

With the same mass, the volume of objects that have a high density will be smaller than objects with a smaller type of mass

The unit of density can be expressed in g / cm³ or kg / m³

Density formula:

$\large{\boxed {\bold {\rho~=~ \frac {m} {V}}}}$

ρ = density

m = mass

v = volume

A common example is the water density of 1 gr / cm³

The beam is a building that has 6 sides and 8 corner points, and is formed from 6 squares

Beam Volume is the multiplication of Length (p), Width (l) and Height (t) of the Beam,

Beam Volume Formulas

$\large{\boxed{\bold{V\:=\:p.l.t}}}$

A block of osmium that measures 1.00 cm x 4.00 cm x 2.50 cm has the volume:

V = 1 cm x 4 cm x 2.5 cm = 10 cm³

The density of osmium, ρ = 22.57 g / cm³

So the mass of a block of osmium

m = ρ. v

m = 22.57 g / cm³. 10 cm³

m = 225.7 grams

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Keywords: density, mass, volume, a block of osmium