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Questions and Answers
A standard gold bar has a mass of 1000 grams, and gold has a density of 19.3 grams per cm³. What is the volume of the gold bar in cm³?
A standard gold bar has a mass of 1000 grams, and gold has a density of 19.3 grams per cm³. What is the volume of the gold bar in cm³?
51.81
Concrete has a density of 2.4 g/cm³. What calculation is needed to find the mass of a concrete slab with a volume of 12 m³, given that the answer should be in kilograms?
Concrete has a density of 2.4 g/cm³. What calculation is needed to find the mass of a concrete slab with a volume of 12 m³, given that the answer should be in kilograms?
- Multiply 12 by 2.4, then divide by 1000.
- Convert 12 m³ to cm³, multiply by 2.4, then divide by 1,000,000.
- Divide 12 by 2.4, then multiply by 1000.
- Convert 12 m³ to cm³, multiply by 2.4, then divide by 1000. (correct)
A solid wooden block in the shape of a cuboid has dimensions 4 cm x 3 cm x 7 cm. If the wood has a density of 0.58 g/cm³, what is the mass of the block in grams?
A solid wooden block in the shape of a cuboid has dimensions 4 cm x 3 cm x 7 cm. If the wood has a density of 0.58 g/cm³, what is the mass of the block in grams?
48.72
The diagram shows a solid triangular prism with given dimensions. To work out the volume of the triangular prism, you must first calculate the ______ of the triangular face, and then multiply by its length.
The diagram shows a solid triangular prism with given dimensions. To work out the volume of the triangular prism, you must first calculate the ______ of the triangular face, and then multiply by its length.
A concrete slab has a volume of 12 m³ and the density of concrete is 2.4 g/cm³. What is the mass of the concrete slab in kilograms, given 1 m³ equals 1,000,000 cm³?
A concrete slab has a volume of 12 m³ and the density of concrete is 2.4 g/cm³. What is the mass of the concrete slab in kilograms, given 1 m³ equals 1,000,000 cm³?
What is the density of the fruit syrup used in the drink?
What is the density of the fruit syrup used in the drink?
The volume of carbonated water used in making the drink is 250 cm³.
The volume of carbonated water used in making the drink is 250 cm³.
What is the total volume of the drink made from apple juice, fruit syrup, and carbonated water?
What is the total volume of the drink made from apple juice, fruit syrup, and carbonated water?
The density of the carbonated water is ________ grams per cm³.
The density of the carbonated water is ________ grams per cm³.
The density of liquid A and liquid B are in the ratio:
The density of liquid A and liquid B are in the ratio:
If 1 ml of liquid B has a mass of 1.2 g, what is the density of liquid B?
If 1 ml of liquid B has a mass of 1.2 g, what is the density of liquid B?
What is the volume of apple juice used in making the drink?
What is the volume of apple juice used in making the drink?
Provide the formula to find the density of the snooker ball.
Provide the formula to find the density of the snooker ball.
If the diameter of a snooker ball is 57 mm measured to the nearest millimetre, the lower bound diameter value to calculate volume should be ________ mm.
If the diameter of a snooker ball is 57 mm measured to the nearest millimetre, the lower bound diameter value to calculate volume should be ________ mm.
A prism made of steel has a density of 7.9 grams per cm. If the volume of the prism is 500 cm, what is the mass of the prism in kilograms, correct to 3 significant figures?
A prism made of steel has a density of 7.9 grams per cm. If the volume of the prism is 500 cm, what is the mass of the prism in kilograms, correct to 3 significant figures?
One sheet of A4 paper has dimensions 21.0 cm by 29.7 cm. The paper has a mass of 80 g per m. What is the total mass of 500 sheets of A4 paper?
One sheet of A4 paper has dimensions 21.0 cm by 29.7 cm. The paper has a mass of 80 g per m. What is the total mass of 500 sheets of A4 paper?
A rubber ball with a radius of 5 cm and a mass of 550 grams will float in water.
A rubber ball with a radius of 5 cm and a mass of 550 grams will float in water.
A steel girder in the shape of a prism is 180 cm long, with a cross-sectional area of 18 cm. The steel has a density of 7.8 g/cm. What is the mass of the steel girder in kilograms?
A steel girder in the shape of a prism is 180 cm long, with a cross-sectional area of 18 cm. The steel has a density of 7.8 g/cm. What is the mass of the steel girder in kilograms?
Justin's pickup truck can carry a maximum load of 500 kg. If each steel girder has a mass of 25.3 kg, what is the maximum number of these steel girders that Justin can carry in his truck without exceeding the maximum load?
Justin's pickup truck can carry a maximum load of 500 kg. If each steel girder has a mass of 25.3 kg, what is the maximum number of these steel girders that Justin can carry in his truck without exceeding the maximum load?
A rectangular prism has dimensions 12 cm x 9 cm x 4 cm. The volume of this prism is ______ $cm^3$.
A rectangular prism has dimensions 12 cm x 9 cm x 4 cm. The volume of this prism is ______ $cm^3$.
Match each dimension to its corresponding prism calculation component:
Match each dimension to its corresponding prism calculation component:
Calculate the volume of a prism with a rectangular base of 9 cm by 4 cm and a height of 5 cm.
Calculate the volume of a prism with a rectangular base of 9 cm by 4 cm and a height of 5 cm.
Density is calculated by multiplying mass and volume.
Density is calculated by multiplying mass and volume.
What are the dimensions of one sheet of A4 paper according to the text?
What are the dimensions of one sheet of A4 paper according to the text?
If 15 ml of orange concentrate is mixed with 200 ml of water, what is the total volume of the orange drink?
If 15 ml of orange concentrate is mixed with 200 ml of water, what is the total volume of the orange drink?
Density is commonly measured in units of ______ per cubic centimeter, or _ g/cm3.
Density is commonly measured in units of ______ per cubic centimeter, or _ g/cm3.
What additional information is needed to calculate the mass of the prism mentioned at the beginning of the document?
What additional information is needed to calculate the mass of the prism mentioned at the beginning of the document?
Mia makes an orange drink; the density of the orange concentrate is 1.24 g/cm3, and the density of water is 1.00 g/cm3. What is the density of Mia’s drink if she mixes 15 ml of orange concentrate with 200 ml of water? (Provide the answer rounded to 2 decimal places)
Mia makes an orange drink; the density of the orange concentrate is 1.24 g/cm3, and the density of water is 1.00 g/cm3. What is the density of Mia’s drink if she mixes 15 ml of orange concentrate with 200 ml of water? (Provide the answer rounded to 2 decimal places)
Given the densities of apple juice ($1.05 \text{ g/cm}^3$), fruit syrup ($1.4 \text{ g/cm}^3$), and carbonated water ($0.99 \text{ g/cm}^3$), which of the following liquids will have the highest volume for a mass of 100g?
Given the densities of apple juice ($1.05 \text{ g/cm}^3$), fruit syrup ($1.4 \text{ g/cm}^3$), and carbonated water ($0.99 \text{ g/cm}^3$), which of the following liquids will have the highest volume for a mass of 100g?
Match the following substances with their corresponding densities (rounded to the nearest tenth):
Match the following substances with their corresponding densities (rounded to the nearest tenth):
Flashcards
What is Density?
What is Density?
Density is mass per unit volume (Density = Mass/Volume).
How to calculate Volume?
How to calculate Volume?
Volume = Mass / Density
How to calculate Mass?
How to calculate Mass?
Mass = Density x Volume. Ensure units are consistent.
m³ to cm³ conversion
m³ to cm³ conversion
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Convert g/cm³ to kg/m³
Convert g/cm³ to kg/m³
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How do you calculate mass?
How do you calculate mass?
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What is volume?
What is volume?
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What are significant figures?
What are significant figures?
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How to determine if an object floats?
How to determine if an object floats?
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Grams to Kilograms Conversion
Grams to Kilograms Conversion
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Prism Volume
Prism Volume
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What is Mass?
What is Mass?
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Steps to solving density problems involving prisms.
Steps to solving density problems involving prisms.
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Finding mass from density and volume
Finding mass from density and volume
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Converting g/m² to kg
Converting g/m² to kg
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Density of a Mixture
Density of a Mixture
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Steps to calculate the density of a mixture
Steps to calculate the density of a mixture
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How to calculate Density?
How to calculate Density?
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Steps to find mixture density
Steps to find mixture density
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Lower bound
Lower bound
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Lower bound for Density
Lower bound for Density
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Understanding Ratios
Understanding Ratios
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Study Notes
Density Calculations
- The density of copper, given a mass of 35,800 kg and a volume of 4 m³, needs to be calculated.
- The mass of 5 m³ of steel with a density of 8050 kg/m³ needs to be determined.
- The mass of a gold chain with a volume of 4 cm³ and a density of 19.3 g/cm³ needs to be calculated.
- The volume of a standard gold bar with a mass of 1000 grams and a density of 19.3 grams per cm³ needs to be determined.
Cuboid Block Mass Calculation
- A solid wooden block is shaped like a cuboid and displayed in a diagram.
- The cuboid block has dimensions of 4 cm, 7 cm, and 2 cm.
- The block is made from wood with a given density of 0.58 g/cm³.
- The mass of this wooden block has to be worked out.
Concrete Slab Mass
- The density of concrete is 2.4 g/cm³.
- A concrete slab has a volume of 12 m³
- The mass of the concrete slab needs to be calculated and given in kilograms.
Triangular Prism Mass
- A solid triangular prism is made from steel.
- The steel has a density of 7.9 grams per cm³.
- The diagram shows a solid triangular prism with sides 6 cm, 8 cm and 11 cm.
- Calculate the mass of the prism, giving the answer in kilograms, correct to 3 significant figures.
Rubber Ball Density
- A solid rubber ball is shaped like a sphere with a radius of 5 cm.
- The mass of the ball is 550 grams.
- Determine if this rubber ball will float in water, knowing that an object floats if its density is less than 1.0 g/cm³.
- Clear calculations are required to justify the answer.
Steel Girder Load
- A steel girder is prism-shaped, with a length of 180 cm.
- The girder has a cross-sectional area of 18 cm².
- The steel has a density of 7.8 g/cm³.
- A pickup truck can carry a maximum load of 500 kg.
- Determine the maximum number of these steel girders that the truck can carry without exceeding the maximum load.
Alloy Density
- 200g of aluminum and 200g of copper are mixed to make 400g of an alloy.
- Aluminum has a density of 2.7 g/cm³.
- Copper has a density of 8.9 g/cm³.
- Determine the density of the alloy.
Liquid Mixture Density
- Liquid A has a density of 0.7 g/cm³.
- Liquid B has a density of 1.6 g/cm³.
- 140 g of liquid A and 128 g of liquid B are mixed to make liquid C.
- Calculate the density of liquid C.
Brass Density Calculation
- Brass is an alloy made of copper and zinc.
- Copper has a density of 8.9 g/cm³.
- Zinc has a density of 7.1 g/cm³.
- 1 kg of brass is made by mixing 630 g of copper with 370 g of zinc.
- Work out the density of the brass and round the answer to 1 decimal place.
A4 Paper Mass
- One sheet of A4 paper is 21.0 cm by 29.7 cm.
- The paper has a mass of 80 g per m².
- Determine the total mass of 500 sheets of A4 paper and give the answer in kilograms, correct to 3 significant figures.
Orange Drink Density
- An orange drink is made by mixing orange concentrate with water.
- 15 ml of orange concentrate is mixed with 200 ml of water.
- The density of the orange concentrate is 1.24 g/cm³.
- The density of water is 1.00 g/cm³.
- Calculate the density of the orange drink, rounding the answer to 2 decimal places.
Mixed Drink Density
- Apple juice has a density of 1.05 grams per cm³.
- Fruit syrup has a density of 1.4 grams per cm³.
- Carbonated water has a density of 0.99 grams per cm³.
- 25 cm³ of apple juice, 15 cm³ of fruit syrup, and 280 cm³ of carbonated water are mixed to make 320 cm³ of a drink.
- Calculate the density of the drink correct to 2 decimal places.
Mixed Liquid Density Ratio
- The densities of two different liquids A and B are in the ratio 11:9.
- 1 ml of liquid B has a mass of 1.2 g.
- 10 ml of liquid A is mixed with 20 ml of liquid B to make 30 ml of liquid C.
- Work out the density of liquid C.
Snooker Ball Density
- A solid snooker ball is shaped like a sphere with a mass of 156 g (measured to the nearest gram).
- The diameter of the ball is 57 mm (measured to the nearest millimeter).
- Find the lower bound for the density of the ball, rounded to 3 significant figures.
Metal Bar Density
- A solid metal bar is cuboid-shaped with a square cross-section.
- The cross-section of the bar has sides of x cm, and the length of the bar is y cm.
- The mass of the bar is M kg.
- x = 5.0 (correct to 1 decimal place).
- y = 25 (correct to the nearest whole number).
- M = 4.24 (correct to 2 decimal places).
- Calculate the density of the metal, in g/cm³, using an appropriate degree of accuracy.
Cone Radius Calculation
- A solid cone is made of wood, with a height of 18 cm.
- The mass of the cone is 0.98 kg, and the wood has a density of 0.43 g/cm³.
- Determine the radius of the cone, giving the answer correct to 2 significant figures.
Glass Sphere Diameter
- A solid sphere is made of glass.
- The mass of the sphere is 58.4 g and the density of the glass is 2.6 g/cm³.
- Find the diameter of the sphere, rounded to 3 significant figures.
Cube Surface Area
- A solid cube has a mass of 9.8 g and a density of 0.92 g/cm³.
- Determine the surface area of the cube and give the answer correct to 2 significant figures.
Squash Ball Density
- A squash ball is made of rubber, shaped like a sphere.
- The mass of the ball is 24 g.
- The external diameter of the ball is 40 mm, with a rubber thickness of 4 mm.
- Assuming the mass of air inside the ball is negligible, calculate the density of the rubber.
Soup Kettle Capacity
- A 200 gallon steam kettle is used to make soup and is shaped like a cylinder.
- The kettle has a diameter of 1.2 m, and the depth of the soup in the kettle is 67 cm.
- The soup has a density of 1.15 g/cm³.
- The soup is dispensed into tins holding 400 g of soup each.
- Determine how many tins can be filled with the soup from the kettle, showing all working.
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