Question

The density of osmium, which is the densest metal, is 22.57g/cm3. What is the mass of a block of osmium that measures 1.00cm x 4.00cm x 2.50cm? Show your work.
Please help and show work thank you.

Answer 1

Answer:

225.70 grams is the mass of a block of osmium.

Explanation:

Density of the substance is defined as mass of the substance present in a unit volume of the substance.

$Density=\frac{Mass}{Volume}$

Density of the metal = $\rho =22.57 g/cm^3$

Mass of the block of an osmium metal = M

Volume of the block of an osmium metal = V

Block is in the shape of cuboid with dimension given as:

Length of the block = l = 1.0-0 cm

Breadth of the block = b = 4.00 cm

Height of the block = h = 2.50 cm

Volume of the block = $V = l\times b\times h$

$\rho =\frac{M}{V}=\frac{M}{ l\times b\times h}$

$M = \rho\times l\times b\times h$

$M=22.57 g/cm^3\times 1.00cm\times 4.00cm\times 2.50 cm$

$M = 225.70 g$

225.70 grams is the mass of a block of osmium.

Answer 2

Hey there!:

Volume :

1.00 cm * 4.00 cm * 2.50 cm => 10 cm³

Density = 22.57 g/cm³

Therefore:

Mass = density * Volume

Mass = 22.57 * 10

Mass = 225.7 g