a cube of gold (density = 19.3 g/cm cubed) is measured and the length of its side is 5.00 cm. what is the mass of the cube?

Respuesta :

ρ=19.3 g/cm³
a=5.00 cm

the volume of a cube is:
v=a³

the mass of the cube is:
m=vρ=a³ρ

m=5.00³*19.3=2412,5 g

Answer:

The mass of the gold cube is 2.41 × 10³ g.

Explanation:

The length (l) of the gold cube is 5.00 cm. The volume (V) of the cube is:

V = l³ = (5.00 cm)³ = 125 cm³

The density of gold is ρ = 19.3 g/cm³. The mass corresponding to 125 cm³ is:

125 cm³ × (19.3 g/cm³) = 2.41 × 10³ g

The mass of the gold cube is 2.41 × 10³ g.