Volume

Front

What is the definition of volume?

Back

Volume is the amount of space occupied by a three-dimensional object, typically 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 rectangular prism?

Back

V = length × width × height.

Tags

CCSS.7.G.B.6

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 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

How do you find the volume of a composite figure?

Back

Calculate the volume of each individual shape and then sum them up.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a cube with a side length of 4 inches?

Back

V = 4³ = 64 in³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) ≈ 141.37 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 2 inches?

Back

V = (4/3)π(2)³ ≈ 33.51 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 inches and a height of 6 inches?

Back

V = (1/3)π(2)²(6) ≈ 8.38 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3