Volume

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, usually measured in cubic units.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

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

Back

Volume = 4 units × 4 units × 4 units = 64 units³.

Front

What units are commonly used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic inches (in³).

Front

If a box has a length of 5 units, a width of 3 units, and a height of 2 units, what is its volume?

Back

Volume = 5 units × 3 units × 2 units = 30 units³.

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 × (3 units)² × 5 units ≈ 141.37 units³.

Front

What is the relationship between volume and capacity?

Back

Volume refers to the space an object occupies, while capacity refers to the amount of substance (like liquid) that a container can hold.

Front

How does changing the height of a rectangular prism affect its volume?

Back

Increasing the height while keeping the length and width constant increases the volume, and vice versa.

Front

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

Back

Volume = (4/3) × π × radius³ = (4/3) × π × (2 units)³ ≈ 33.51 units³.

Front

If the volume of a container is 960 inches³, what does this mean?

Back

It means the container can hold 960 cubic inches of material or liquid.