Question
A metal sculpture has a total volume of 1250cm^3 and a mass of 7.9 kg. Work out its density,in grams per cubic centimetre (g/cm^3) ) - Give your answer to 2 d.p.
Answer
4.1
(334 Votes)
Milton
Master · Tutor for 5 years
Answer
Following the explanatory steps, now In Step1,we convert the given mass to grams.So, 7.9 kg converted to grams is
grams In Step2,we use the formula of density, which is ###
In Step3,we insert our parameters into the equation, so the density
will be
. Therefore, the density of the metal sculpture is
.
Explanation
## Step1: The first step is to convert the mass into grams from kilograms. This is because the density is asked in g/cm³, and we have the mass in kilograms. We know that 1 kilogram is equal to 1000 grams.## Step2: After converting the mass to grams, we will have to calculate the density by utilising the given formula. ### The density formula is defined as:
where: '
' is the density, 'M' represents mass which is now in grams, 'V' stands for the volume.## Step3: Substitute the respective values into the formula and do arithmetic.