Unit 7: Volume and Density

Front

What is density?

Back

Density is defined as mass per unit volume. It is calculated using the formula: Density = Mass/Volume.

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CCSS.HSG.MG.A.2

Front

How do you calculate the density of an object?

Back

To calculate density, use the formula: Density = Mass / Volume. For example, if an object has a mass of 4g and a volume of 2cm³, its density is 2 g/cm³.

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CCSS.HSG.MG.A.2

Front

What is the formula for the volume of a sphere?

Back

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cube?

Back

The volume of a cube is calculated using the formula: V = side³. For example, if the side length is 4mm, the volume is 64 mm³.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: V = B × h, where B is the area of the base and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between mass, volume, and density?

Back

Mass, volume, and density are related by the formula: Density = Mass / Volume. This means that if you know any two of these values, you can calculate the third.

Tags

CCSS.HSG.MG.A.2

Front

If an object has a mass of 10g and a volume of 5cm³, what is its density?

Back

Density = Mass / Volume = 10g / 5cm³ = 2 g/cm³.

Tags

CCSS.HSG.MG.A.2

Front

What is the volume of a cylinder with a radius of 3cm and a height of 5cm?

Back

Volume = π × r² × h = π × (3cm)² × 5cm = 45π cm³ ≈ 141.37 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you compare the volumes of two cylinders?

Back

To compare the volumes of two cylinders, calculate the volume of each using the formula V = B × h and compare the results.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 4mm?

Back

Volume = side³ = 4mm × 4mm × 4mm = 64 mm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2