a cube shaped object with a side that is You may consult with anyone in the clas

Question

a cube shaped object with a side that is You may consult with anyone in the class, but must write up your own answers. You can use your cells or other devices for calculators. Recall: Density = mass/volume or = m/V Problem 1: A cube shaped object with a side that is 0.20 m long has a mass of 2.3 kg. What is the density of the object? Recall V(cube)-x and round off your answer to 2 significant figures. Be sure to show your work including any manipulation of the equation if necessary Problem 2: If an object has a mass of 1.5 kg and a density of 3.5 kg/m3, what is its volume in m"? Round off your answer to 2 significant figures. Be sure to show your work including any manipulation of the equation if necessary. Problem 3: Substance X has a density of 3.2 g/em. If a piece of substance X has a volume of 1.2 cm, what is the mass of the piece of the substance Give your answer in g (grams) and round off to 2 significant figures. Be sure to show your work including any manipulation of the equation if necessary.

Explanation / Answer

Solution 1 :

Given:

Side = 0.2 m

Mass = 2.3 Kg

Formula :

Density = Mass / Volume

Calculation :

Volume = 0.20 * 0.20 * 0.20

Volume = 0.008 m^3

Density = Mass / Volume

Density = 2.3 Kg / .008 m^3

Density = 287.5 Kg / m^3

Density = 288 Kg / m^3

2. Solution 2

Given:

Density = 3.5 Kg/m^3

Mass = 1.5 Kg

Formula :

Density = Mass / Volume

Volume = Mass / Density

Calculation :

Volume = 1.5 Kg / 3.5 m^3

Volume = 0.482 m^3

Volume = 0.49 m^3

3. Solution 3

Density(X) = 3.2 gm/cm^3

Volume(X) = 1.2 cm^3

Mass(X) = Density(X) * Volume(X)

Mass(X) = 3.2 g/cm^3 * 1.2 cm^3

Mass(X) = 3.84 gm

Mass(X) = 3.8 gm

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