Volume

Front

What is Volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

The volume 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

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula V = lwh, where l is length, w is width, and h is height.

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CCSS.7.G.B.6

Front

What is the value of π (pi) used in volume calculations?

Back

The value of π (pi) is approximately 3.14.

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CCSS.HSG.GMD.A.1

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is approximately 113.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

Using the formula V = πr²h, the volume is approximately 785.4 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Using the formula V = (1/3)πr²h, the volume is approximately 150.8 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.