An object with a mass of 0.255 kg and density of 2.89 g/cm³ measures 34 mm in length and 46 mm in width. What is the height of the object?

Question

Quizplus · Accepted Answer

First, convert the density to kg/m^3 (2.89 g/cm^3 = 2890 kg/m^3) and the mass to kg (already given as 0.255 kg). The volume (V) of the object can be found using the formula density (ρ) = mass (m) / volume (V), so V = m / ρ = 0.255 kg / 2890 kg/m^3 = 8.82 x 10^-5 m^3. Convert the length and width to meters (0.034 m and 0.046 m, respectively), then solve for height (h) using the volume formula for a rectangular prism, V = lwh. Thus, h = V / (lw) = 8.82 x 10^-5 m^3 / (0.034 m * 0.046 m) = 0.056 m or 5.6 cm.

An Object with a Mass of 0