Volume formulas

Front

What is the formula for the volume of a rectangular prism?

Back

V = l × w × h, where l is length, w is width, and h is 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 of the base 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 pyramid?

Back

V = (1/3) × (Area of the Base) × (Height).

Tags

CCSS.HSG.GMD.A.3

Front

What units are commonly used to measure volume?

Back

Cubic inches, cubic meters, cubic feet, cubic yards.

Tags

CCSS.3.MD.A.2

Front

How do you calculate the volume of a composite shape?

Back

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

Tags

CCSS.5.MD.C.5C

Front

What is the relationship between volume and capacity?

Back

Volume measures the amount of space an object occupies, while capacity refers to the amount of substance a container can hold.

Front

What is the volume of a bowling ball with a radius of 5 inches?

Back

V = (4/3)π(5)³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of the height in volume formulas?

Back

Height is a critical dimension that affects the overall volume of three-dimensional shapes.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3