Question
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 360 kg and a density of 18(kg)/(m^3) What is the volume of the object? Volume= (b) Another object has a volume of 65m^3 and a density of 26(kg)/(m^3) What Is the mass of the object? Mass=
Answer
4.3
(232 Votes)
Charlotte
Veteran · Tutor for 12 years
Answer
(a) By substituting the values into fit, we get
. Therefore, the volume of the object is 20 cubic meters. (b) By substituting the values into it, we get
. So, the mass of the object is 1690 kilograms.
Explanation
## Step 1:In part (a), we want to calculate the volume of an object given its mass and density. The scientific relation between mass, density, and volume can help us here. Volume is simply the ratio of an object's mass to its density. Thus, the formula we will use is:###
Given that the mass of the object is 360 kg and the density is
, we substitute these values into the equation.## Step 2: For part (b), we have been given the volume and the density of an object and we need to find the mass. In this case, we can use the equation which defines density- It is the mass of an object divided by its volume. The equation expressing mass (generally derivation of the density equation) in terms of density and volume is given as:###
Inserting the provided numbers
as density and
as the volume, we can find the mass.