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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.

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.

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.

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MiltonMaster · Tutor for 5 years

Answer

Following the explanatory steps, now <br /><br />In Step1,<br />we convert the given mass to grams.<br />So, 7.9 kg converted to grams is \(7.9 \times 1000 = 7900\) grams <br /><br />In Step2,<br />we use the formula of density, which is <br /><br />### \(\rho = \frac {Mass}{Volume} \)<br /><br />In Step3,<br />we insert our parameters into the equation, so the density \( \rho \) will be \( \frac {7900}{1250} = 6.32 \ g/cm^3 \). <br /><br />Therefore, the density of the metal sculpture is \( 6.32 \ \mathrm{g/cm}^{3} \).

Explain

## Step1: <br />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.<br /><br />## Step2: <br />After converting the mass to grams, we will have to calculate the density by utilising the given formula. <br /><br />### The density formula is defined as: \[\boldsymbol{\rho = \frac {m}{v}}\]<br />where: <br />'\(\rho\)' is the density, <br />'M' represents mass which is now in grams, <br />'V' stands for the volume.<br /><br />## Step3: <br />Substitute the respective values into the formula and do arithmetic.
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