Answer the questions below. Give exact integer or decimal answers. Be sure to include the correct units in your answers. (a) An object has a mass of 450 g and a volume of 360cm^3 What is the density of the object? Density= (b) Another object has a mass of 480 g and a density of 15(g)/(cm^3) What is the volume of the object? Volume=square

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Answer the questions below. Give exact integer or decimal answers. Be sure to include the correct units in your answers. (a) An object has a mass of 450 g and a volume of 360cm^3 What is the density of the object? Density= (b) Another object has a mass of 480 g and a density of 15(g)/(cm^3) What is the volume of the object? Volume=square

Answer 1

(a) The object's density is \(1.25 g/cm^{3}\) (b) The other object's volume equals \(32 cm^{3}\).

Answer 2

## Step1: For part (a), calculate the density of the object given its mass and volume. The formula to calculate density, let's denote it as \(d\), is \(d = \frac{m}{v}\), where \(m\) represents mass and \(v\) indicates volume. The provided values in the question are: mass \(m = 450g\) and volume \(v = 360 cm^{3}\). Substituting these values into the formula would help us work out the density. ## Step2: For part (b), we need to ascertain the volume of the object using given values of its mass and density. This can be accomplished by manipulating the density formula to isolate volume---\({v}\). We come up with a new equation - \(v = \frac{m}{d}\) where \(m\) is mass and \(d\) pertains to density. The parameters available to us from the question are: mass \(m = 480g\) and density \(d = 15\frac{g}{cm^{3}}\). Inserting these values into the new volume equation will help in computing the needed value of volume. # Calculations: ### \(d = \frac{m}{v} = \frac{450}{360} = 1.25 g/cm^{3}\) ### \(v = \frac{m}{d} = \frac{480}{15}= 32 cm^{3}\)

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