A sheet of glass has a density of 2.5 g cm 3 2.5 cm 3 g ​ 2, point, 5, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction. What is the density of the glass in kg m 3 m 3 kg ​ start fraction, start text, k, g, end text, divided by, start text, m, end text, cubed, end fraction?

Respuesta :

Answer: Hence, 2.5 g/cm³= 2500 kg/m³

Step-by-step explanation:

2.5 g converted to kg:  2.5 g x 1 kg/1000 g = 0.0025 kg = 2.5x10-3 kg

cm3 converted to m3:  1 cm3 x 10-6 m3/cm3 = 1x10-6 m3

Thus, the conversion of 2.5 g/cm3 to kg/m3 would be 2.5x10-3 kg/10-6 m3 = 2.5x103 kg/m3 = 2500 kg/m3

We are given that:

A sheet of glass has a density of 2.5 g/cm^3.

We have to find the density of the glass in kg/m^3

since, 1 kg=1000 g

⇒  1 g=1/1000 kg

also, 1 m=100 cm

⇒  1 m×1 m×1 m =100 cm×100 cm×100 cm

⇒ 1 m³= 1000000 cm³

⇒ 1 cm³= 1/1000000 m³

2.5 g/cm³ =  kg/m³

Hence, 2.5 g/cm³= 2500 kg/m³