Volume of Cylinders and Rectangular prisms

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height

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CCSS.7.G.B.6

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × radius² × height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a rectangular prism has a base area of 10 cm² and a height of 5 cm, what is its volume?

Back

Volume = 10 cm² × 5 cm = 50 cm³

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CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Volume = π × (3 cm)² × 10 cm ≈ 282.74 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, in³) are used to measure volume.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the relationship between the dimensions of a box and its volume?

Back

The volume of a box is directly proportional to its length, width, and height.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How can you find the volume of a composite shape made of a cylinder and a rectangular prism?

Back

Calculate the volume of each shape separately and then add them together.

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CCSS.5.MD.C.5C

Front

What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

Back

Volume = 4 cm × 5 cm × 6 cm = 120 cm³

Tags

CCSS.7.G.B.6

Front

If the height of a cylinder is doubled, how does that affect its volume?

Back

The volume of the cylinder also doubles.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 5 cm?

Back

Volume = π × (4 cm)² × 5 cm ≈ 62.83 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3