Question

a container has the dimensions of 30 cm x 50 mm x 0.2m. the density of it contents is 2.5 g/cm^3. what is the mass of the substance in kilograms?

Answer 1

Convert all the measurements of the container into cm so you can use the cm^3 value.  

30cm = 30cm  

50mm = 5cm  

0.1m = 10cm  

30 * 5 * 10 = 1500 cm^3  

mass = density * volume = 2.5 * 1500 = 3750 g  

1000g = 1kg  

The mass of the substance is 3.75kg  

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Answer 2

Answer: The mass of substance is 7.5 kg

Explanation:

To calculate the volume of cuboid, we use the equation:

$V=lbh$

where,

V = volume of cuboid

l = length of cuboid = 30 cm

b = breadth of cuboid = 50 mm  = 5 cm    (Conversion factor:  1 cm = 10 mm)

h = height of cuboid = 0.2 m = 20 cm    (Conversion factor : 1 m = 100 cm)

Putting values in above equation, we get:

$V=30\times 5\times 20=3000cm^3$

• To calculate mass of a substance, we use the equation:

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

We are given:

Density of substance = $2.5g/cm^3$

Volume of substance = $3000cm^3$

Putting values in above equation, we get:

$2.5g/cm^3=\frac{\text{Mass of substance}}{3000cm^3}\\\\\text{Mass of substance}=7500g$

Converting grams into kilograms, we use the conversion factor:

1 kg = 1000 g

So, 7500 g = 7.5 kg

Hence, the mass of substance is 7.5 kg