Volume

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, 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 3 units?

Back

Volume = 3 units × 3 units × 3 units = 27 cubic units.

Front

What units are used to measure volume?

Back

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

Front

If a box has a length of 4 cm, a width of 3 cm, and a height of 2 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

Volume = π × radius² × height = π × (2 cm)² × 5 cm ≈ 62.83 cm³.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

Front

How does the volume of a cube change if the side length is doubled?

Back

If the side length is doubled, the volume increases by a factor of 8.

Front

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Front

What is the relationship between volume and capacity?

Back

Volume refers to the space occupied by an object, while capacity refers to the amount of liquid a container can hold.