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 of a cylinder is given by 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 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

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.

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 its edge, while the diameter is twice the radius, measuring the distance across the circle through its center.

Tags

CCSS.HSG.C.A.2

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

The volume is 37.7 cm³ (using V = (1/3)π(3)²(4)).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is 125 cm³ (using V = s³, where s is the side length).

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How do you find the volume of an irregular shape?

Back

You can find the volume of an irregular shape by using water displacement or by breaking it down into regular shapes and calculating their volumes.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a cylinder with a radius of 2 m and a height of 5 m?

Back

The volume is 25.13 m³ (using V = π(2)²(5)).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 20 m² and a height of 6 m?

Back

The volume is 40 m³ (using V = (1/3) * base area * height).

Tags

CCSS.HSG.GMD.A.3