A sheet of glass has a density of 2.5(g)/(cm^(3)). What is the density of the glass in (kg)/(m^(3)) ?

Convert units to kilograms: Convert the density from grams per cubic centimeter to kilograms per cubic meter. Since 1 gram = 0.001 kilograms and 1 cubic centimeter = 0.000001 cubic meters, we multiply the given density by the conversion factors. 2.5(g)/(cm^(3)) * (0.001 kg)/(1 g) * (1,000,000 cm^(3))/(1 m^(3)) = 2.5 * 0.001 * 1,000,000 kg/m^(3)Perform multiplication: Perform the multiplication to find the density in kilograms per cubic meter. 2.5 * 0.001 * 1,000,000 = 2500 kg/m^(3)

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A sheet of glass has a density of $\frac{2.5\,\text{g}}{\text{cm}^3}$ . What is the density of the glass in $\frac{\text{kg}}{\text{m}^3}$ ?

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Q. A sheet of glass has a density of

\frac{2.5\,\text{g}}{\text{cm}^3}

. What is the density of the glass in

\frac{\text{kg}}{\text{m}^3}

Convert units to kilograms: Convert the density from grams per cubic centimeter to kilograms per cubic meter. $\newline$ Since $1$ gram $= 0.001$ kilograms and $1$ cubic centimeter $= 0.000001$ cubic meters, we multiply the given density by the conversion factors. $\newline$ $2.5\frac{g}{cm^{3}} \times \frac{0.001 kg}{1 g} \times \frac{1,000,000 cm^{3}}{1 m^{3}} = 2.5 \times 0.001 \times 1,000,000 \frac{kg}{m^{3}}$
Perform multiplication: Perform the multiplication to find the density in kilograms per cubic meter. $2.5 \times 0.001 \times 1,000,000 = 2500 \, \text{kg/m}^{3}$