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2. a. A sheet of insulating foam measures 3 m x 1 mx 0.08 m. It has a mass of 9.6 kg. Calculate the density of the insulating foam. Part 1: work out the volume of the insulating foam (volume = base x width x height): 9.6 kg. b...kg .......... Part 2: Using the density equation, work out the density of the insulating foam: G mass of foam = 9.6 kg volume of foam = U...... E....... S....... S....... m³​



Answer :

jacob193

Answer:

Volume: [tex]0.24\; {\rm m^{3}}[/tex].

Density: [tex]40\; {\rm kg\cdot m^{-3}}[/tex].

Explanation:

This question models the sheet of the foam as a rectangular prism. The volume of a rectangular prism is the product of the length of its sides:

[tex]V = (3\; {\rm m}) \times (1\; {\rm m}) \times (0.08\; {\rm m}) = 0.24\; {\rm m^{3}}[/tex].

To find the average density of the foam, divide the mass of the foam by volume. Assuming that the mass measure [tex]m = 9.6\; {\rm kg}[/tex] accounts for the effect of buoyancy on the foam. Average density of the foam would be:

[tex]\displaystyle \rho = \frac{m}{V} = \frac{9.6\; {\rm kg}}{0.24\; {\rm m^{3}}} = 40\; {\rm kg\cdot m^{-3}}[/tex].

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