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 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 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 difference between a radius and a 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, measuring the distance across the circle through its center.

Tags

CCSS.HSG.C.A.2

Front

What shape has a volume of 78.5 m³ if it is a cylinder with a radius of 5 m and height of 1 m?

Back

The volume of the cylinder is calculated as V = πr²h = π(5)²(1) = 78.5 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 3 m?

Back

The volume of a cube is calculated as V = s³, where s is the side length. So, V = 3³ = 27 m³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a rectangular prism with length 4 m, width 3 m, and height 2 m?

Back

The volume of a rectangular prism is calculated as V = lwh = 4 × 3 × 2 = 24 m³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere with a radius of 5 m?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ ≈ 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 m and height of 4 m?

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(3)²(4) = 12π ≈ 37.7 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3