Volume

Front

What is the definition of 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 calculating the volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where s is the length of a side.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the formula for calculating the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for calculating the volume of a cone?

Back

The volume of a cone is calculated using 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

What happens to the volume of a cylinder when the radius is doubled?

Back

When the radius is doubled, the volume of the cylinder increases by a factor of four.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 5 cm?

Back

The volume is 125 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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 the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the height of a cone is halved, what happens to its volume?

Back

If the height is halved, the volume of the cone is also halved.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cube and its side length?

Back

The volume of a cube increases with the cube of its side length.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2