Which of the following units may NOT be used for density?Grams per centimetre cubedMilligrams per centimetre cubedKilograms per metre cubedKilograms per metre2A student uses their hand to compress a sponge. How does this affect the density of the sponge?It has no effect on its densityIt causes it to increaseIt is impossible to say without knowing the mass and volume of the spongeIt causes it to decrease3Calculate the density of the steel which has been used to produce a sphere which has a mass of 40 g and a volume of 5 cm3.0.125 g/cm335 g/cm38 g/cm3200 g/cm34The plastic which has been used to produce a water bottle has a mass of 18 g and a density of 0.9 g/cm3. Calculate the volume of plastic which was used to produce the bottle.0.05 cm320 cm317.1 cm316.2 cm35A block of wood of density 700 kg/m3 has a volume of 0.2 m3. Calculate its mass.3500 kg700 kg0.00029 kg140 kg6Calculate the volume of a 10 cm-high cylinder of radius 5 cm.785 cm3157 cm3250 cm350 cm3
Question
Which of the following units may NOT be used for density?Grams per centimetre cubedMilligrams per centimetre cubedKilograms per metre cubedKilograms per metre2A student uses their hand to compress a sponge. How does this affect the density of the sponge?It has no effect on its densityIt causes it to increaseIt is impossible to say without knowing the mass and volume of the spongeIt causes it to decrease3Calculate the density of the steel which has been used to produce a sphere which has a mass of 40 g and a volume of 5 cm3.0.125 g/cm335 g/cm38 g/cm3200 g/cm34The plastic which has been used to produce a water bottle has a mass of 18 g and a density of 0.9 g/cm3. Calculate the volume of plastic which was used to produce the bottle.0.05 cm320 cm317.1 cm316.2 cm35A block of wood of density 700 kg/m3 has a volume of 0.2 m3. Calculate its mass.3500 kg700 kg0.00029 kg140 kg6Calculate the volume of a 10 cm-high cylinder of radius 5 cm.785 cm3157 cm3250 cm350 cm3
Solution
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The unit that may NOT be used for density is Kilograms per metre2. Density is mass per unit volume, so it should be in the form of mass/volume.
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When a student uses their hand to compress a sponge, it causes the density to increase. The volume of the sponge decreases when it is compressed, but the mass remains the same. Since density is mass/volume, a decrease in volume with the same mass results in an increase in density.
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The density of the steel used to produce a sphere can be calculated using the formula density = mass/volume. So, density = 40 g / 5 cm3 = 8 g/cm3.
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The volume of the plastic used to produce a water bottle can be calculated using the formula volume = mass/density. So, volume = 18 g / 0.9 g/cm3 = 20 cm3.
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The mass of a block of wood can be calculated using the formula mass = density * volume. So, mass = 700 kg/m3 * 0.2 m3 = 140 kg.
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The volume of a cylinder can be calculated using the formula volume = πr2h. So, volume = π * (5 cm)2 * 10 cm = 785 cm3.
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