A bottle contains a sample of vegetable oil. The oil has a density of 0.92 g/cm^3 and a mass of 138 g. What is the volume of the oil?

Answer: B. Step 1: Rearrange the density formula Density links mass and volume: = m/V Rearranged to make volume the subject: V = m/ Step 2: Substitute the values V = 138 g/0.92 g/cm^3 Step 3: Compute the volume V = 150 Mass was given in grams and den…

Density: Question 6

Syllabus 1.4

Multiple choice Core 1 mark

A bottle contains a sample of vegetable oil. The oil has a density of $0.92\text{ g/cm}^3$ and a mass of $138\text{ g}$ . What is the volume of the oil?

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Step 1: Rearrange the density formula

Density links mass and volume:

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

Rearranged to make volume the subject:

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

Step 2: Substitute the values

$V = \frac{138\text{ g}}{0.92\text{ g/cm}^3}$

Step 3: Compute the volume

$V = 150$

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

$V = 150\text{ cm}^3$

Why the other options are wrong

Option	How it arises	Error
$15.0\text{ cm}^3$	$138 \div 9.2$	Decimal-point slip
$126.96\text{ cm}^3$	$138 \times 0.92$	Multiplied instead of dividing
$0.00667\text{ cm}^3$	$0.92 \div 138$	Formula inverted

Final answers

Volume $= \boxed{150\text{ cm}^3}$ , option B