Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Mass = 10,000 kg
Volume = 200 m³

Density = $\frac{10000}{200}$ = 50 kg m^-3

Note: Two of the zeros in 10,000 and 200 will cancel each other. 2 divides itself once and 100, 50 times.

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

If the volume is constant (the same), the higher the mass, the higher the density since volume is dividing.

Convert all the masses to the same unit and pick the product with the highest mass.

Let's change all the masses to grams (g)

To change kilogram (kg) to gram, you must multiply by 1000
To change milligram (mg) to gram, you must divide by 1000

Product X mass = 0.05 kg = 0.05 x 1000 g = 50 g

Product Y mass = 50 mg = $\frac{50}{1000}$ = 0.05 g

Product Z mass = 500 g

Product W mass = 0.05 g

The highest mass is 500 g for product Z, hence product Z will have the highest density.

Convert all the masses to the same unit and pick the product with the highest mass.

Let's change all the masses to grams (g)

To change kilogram (kg) to gram, you must multiply by 1000
To change milligram (mg) to gram, you must divide by 1000

Product X mass = 0.05 kg = 0.05 x 1000 g = 50 g

Product Y mass = 50 mg = $\frac{50}{1000}$ = 0.05 g

Product Z mass = 500 g

Product W mass = 0.05 g

Product Y and W have the same mass, 0.05 g.

Derived unit is a unit obtained from the base/fundamental unit. Pa is a unit for pressure which is obtained from kg⋅m⁻¹⋅s⁻²

Area of a rectangle = Length x Breadth

Area of the floor = 20 m x 15 m = 300 m²

Metre-rule is used to measure length. Diameter of a circle is a length.

Thermometer is used to measure temperature

Ammeter is used for measuring either direct (DC) or alternating (AC) electric current, in amperes.

cm³ is volume and volume of a liquid is measured with a measuring cylinder or volumetric flask or pipettes, burettes or graduated cylinders

Force meter measures force/weight of an object

Area of a rectangle = Length x Breadth

Area of the floor = 20 m x 15 m = 300 m²

Metre-rule is used to measure length. Diameter of a circle is a length.

Thermometer is used to measure temperature

Ammeter is used for measuring either direct (DC) or alternating (AC) electric current, in amperes.

Density = Mass / Volume

Volume = Length x Breadth x Height

Breadth = Height = Length for cube

Volume of a cube = Length x Length x Length = Length³

Volume of the aluminium = 2³ = 2 x 2 x 2 = 8 m ³

Density = 24 kg/ 8 m ³ = 3 kg m^-3

Mass is always measured using a beam balance. A spring balance gives different readings at different places on earth because it measures the weight not mass.

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Mass = 80.0 g

Volume = 20.0 cm³

Density = $\frac{\mathrm{80\; g}}{20{cm}^3}$

Density = 4.0 g cm^-3

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Density x Volume = Mass

Divide both sides by density to make volume the subject.

Volume = $\frac{\mathrm{Mass}}{\mathrm{Density}}$

Volume = $\frac{25}{2.5}$

Volume = 10 cm³

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Volume = Final Volume - Initial Volume
Volume = 35 cm³ - 20 cm³
Volume = 15 cm³

Mass = 35 g

Density = $\frac{\mathrm{35\; g}}{\mathrm{15\; }{\mathrm{cm}}^3}$

Density = 2.33 g cm^-3

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Mass = 35.0 g
Volume = 5.0 cm³

Density = $\frac{35}{5}$ = 7 g cm^-3

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Density x Volume = Mass

Dividing both sides by Density

Volume = $\frac{\mathrm{Mass}}{\mathrm{Density}}$

Volume = $\frac{\mathrm{10kg}}{\mathrm{2\; kg}{\mathrm{m}}^{-3}}$

Volume = 5 m³

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Volume of a cube = Length x Length x Length

Volume of the aluminium = 2 x 2 x 2 = 8 m³

Mass = 24 kg

Density = $\frac{24}{8}$ = 3 kgm^-3

Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$

Density x Volume = Mass

Dividing both sides by Density

Volume = $\frac{\mathrm{Mass}}{\mathrm{Density}}$

Volume = $\frac{\mathrm{0.1kg}}{\mathrm{1\; kg}{\mathrm{m}}^{-3}}$

Volume = 0.1 m³

r = 7 cm
h = 2 cm

π = $\frac{22}{7}$

r² = r x r

Volume = $\frac{22}{7}$ x 7 cm x 7 cm x 2 cm

Note: the denominator 7 cancels on of the 7s multiplying.

Volume = 22 x 1 cm x 7 cm x 2 cm

Volume = 308 cm³

Mass = 35.0 g
Volume = 5.0 cm³

Density = $\frac{\mathrm{35.0\; g}}{\mathrm{5.0 }{\mathrm{cm}}^2}$ = 7 g cm^-3

Mass = 1.0 kg
Density = 10 kg cm^-3

Volume = $\frac{\mathrm{1.0\; kg}}{\mathrm{10 kg }{\mathrm{cm}}^{-3}}$

Volume = 0.1 cm³

Mass = 40 g
Volume = 20 cm³

Density = $\frac{\mathrm{40\; g}}{\mathrm{20 }{\mathrm{cm}}^3}$

Density = 2 g cm^-3