A solid metal cube has an edge which is 11.4 mm long, and a mass of 6.67 g. What is the density of the cube? (A cube has all sides of equal length.) MULTIPLE CHOICE:

(a) 5.85 g/cm3 (b) 1.71 g/mm3 (c) 4.50 g/cm3 (d) 0.0877 g cm3

d = 4.50 g/cm³

Explanation:

Given data:

Edge length of a cube = 11.4 mm  (11.4/10 = 1.14 cm)

Mass of cube = 6.67 g

Density = ?

Solution:

Density:

Density is equal to the mass of substance divided by its volume.

Units:

SI unit of density is Kg/m3.

Other units are given below,

g/cm3, g/mL , kg/L

Formula:

D=m/v

D= density

m=mass

V=volume

Symbol:

The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.

First of all we will calculate the volume of cube.

Volume = length × width × height

Since all are equal,that's why

Volume = 1.14 cm ×  1.14 cm × 1.14 cm

Volume = 1.482 cm³

d = m/v

d = 6.67 g/ 1.482 cm³

d = 4.50 g/cm³