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 the volume of a cylinder?

Back

The volume (V) 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 the volume of a cone?

Back

The volume (V) 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 is the difference between radius and diameter?

Back

The radius is the distance from the center of a circle to any point on its circumference, while the diameter is twice the radius, spanning from one point on the circumference to another through the center.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the volume of a rectangular prism?

Back

The volume (V) 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 (V) 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 radius of a cylinder is 3 cm and the height is 5 cm, what is its volume?

Back

The volume is 141.37 cm³ (using π ≈ 3.14).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 4 cm and a height of 9 cm, what is its volume?

Back

The volume is 150.8 cm³ (using π ≈ 3.14).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the unit of measurement for volume?

Back

The unit of measurement for volume is cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

Tags

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 a cone with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder with the same base and height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3