Volume Flashcard

Front

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

Back

Volume = length × width × height

Front

How do you convert cubic feet to cubic yards?

Back

To convert cubic feet to cubic yards, divide the volume in cubic feet by 27.

Front

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

Back

Volume = side³ = 3³ = 27 units³.

Front

If the volume of a rectangular prism is 125 units³ and the height is 25 units, how do you find the area of the base?

Back

Area of the base = Volume / height = 125 units³ / 25 units = 5 units².

Front

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

Back

Volume = π × radius² × height = π × 3² × 5 = 45π units³.

Front

How do you find the volume of a fish tank?

Back

Volume = length × width × depth.

Front

What is the volume of a rectangular prism with dimensions 2m x 3m x 4m?

Back

Volume = 2m × 3m × 4m = 24m³.

Front

What is the relationship between volume and capacity?

Back

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

Front

How do you calculate the volume of a composite shape?

Back

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

Front

What is the volume of a sphere with a radius of 4 units?

Back

Volume = (4/3)π × radius³ = (4/3)π × 4³ = (64/3)π units³.