A small ornament made from a single material has a mass of 63 g and a volume of 18 cm^3. What is the density of the material?

Answer: B. Step 1: Recall the density formula Density links mass and volume: = m/V Step 2: Substitute the values = 63 g/18 cm^3 = 3.5 Step 3: Attach the correct unit Mass was given in grams and volume in cm^3, so density comes out in g/cm^3: = 3.5 g/…

Density: Question 1

Syllabus 1.4

Multiple choice Core 1 mark

A small ornament made from a single material has a mass of $63\text{ g}$ and a volume of $18\text{ cm}^3$ . What is the density of the material?

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Step 1: Recall the density formula

Density links mass and volume:

$\rho = \frac{m}{V}$

Step 2: Substitute the values

$\rho = \frac{63\text{ g}}{18\text{ cm}^3}$

$\rho = 3.5$

Step 3: Attach the correct unit

Mass was given in grams and volume in $\text{cm}^3$ , so density comes out in $\text{g/cm}^3$ :

$\rho = 3.5\text{ g/cm}^3$

Why the other options are wrong

Option	How it arises	Error
$0.29\text{ g/cm}^3$	$18 \div 63$	Formula inverted (volume ÷ mass)
$35\text{ g/cm}^3$	$63 \div 18$ with a misplaced decimal	Decimal-point slip
$45\text{ g/cm}^3$	$63 - 18$	Subtracted instead of dividing

Final answers

Density $= \boxed{3.5\text{ g/cm}^3}$ , option B