Volume of Cylinders and Rectangular Prisms

Front

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

Back

The volume V of a rectangular prism is given by the formula V = length × width × height.

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CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cylinder if you know the diameter?

Back

The radius r is half of the diameter d, so r = d/2.

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CCSS.7.G.B.4

Front

What is the volume of a cylinder with a diameter of 10 inches and a height of 5 inches?

Back

First, find the radius: r = 10/2 = 5 inches. Then, use the formula: V = π(5)²(5) = 125π cubic inches.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular prism with dimensions 4 cm, 3 cm, and 2 cm?

Back

The volume is V = 4 × 3 × 2 = 24 cubic cm.

Tags

CCSS.7.G.B.6

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(10) = 90π cubic cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

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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 volume of a cylinder and the volume of a rectangular prism with the same base area and height?

Back

The volume of both shapes can be calculated using the same height and base area, but the formulas differ: V_cylinder = base_area × height and V_prism = base_area × height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert the volume of a cylinder from terms of π to a decimal?

Back

Multiply the volume in terms of π by the approximate value of π (3.14) to convert it to a decimal.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the total volume of two identical rectangular prisms each with a volume of 50 cubic cm?

Back

The total volume is 50 + 50 = 100 cubic cm.

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CCSS.3.MD.A.2