Calculating Volume

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

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CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 10 cm² and a height of 5 cm?

Back

Volume = base area × height = 10 cm² × 5 cm = 50 cm³.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and gallons.

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CCSS.3.MD.A.2

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = side³ = 3 cm × 3 cm × 3 cm = 27 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How do you find the width of a rectangular prism if you know the volume, height, and length?

Back

Width = Volume / (length × height).

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

Volume = π × radius² × height = π × (2 cm)² × 5 cm ≈ 62.83 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × radius² × height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a prism has a volume of 48 cm³ and a height of 4 cm, what is the base area?

Back

Base area = Volume / height = 48 cm³ / 4 cm = 12 cm².

Tags

CCSS.7.G.B.6