Volume of 3D Shapes

Front

What is volume?

Back

The amount of space in a 3-D object.

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 cone?

Back

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 cylinder?

Back

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 sphere?

Back

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the diameter of a circle?

Back

The distance across the circle through its center, equal to twice the radius.

Tags

CCSS.HSG.C.A.2

Front

If a cone has a diameter of 4, what is its radius?

Back

The radius is 2 (diameter divided by 2).

Tags

CCSS.7.G.B.4

Front

Calculate the volume of a cone with a radius of 2 and a height of 6.

Back

V = (1/3)π(2)²(6) = 8π ≈ 25.13.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cylinder with a radius of 3 and a height of 5.

Back

V = π(3)²(5) = 45π ≈ 141.37.

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?

Back

V = s³ = 3³ = 27.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the relationship between volume and capacity?

Back

Volume measures the space an object occupies, while capacity measures how much a container can hold.