Volume and Missing Measurements

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, typically measured in cubic units.

Front

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

Back

Volume = length × width × height.

Front

How do you find the volume of a cube?

Back

Volume = side × side × side (or side³).

Front

If the volume of a cylinder is given, how can you find the height?

Back

Use the formula: Volume = π × radius² × height, and rearrange to find height.

Front

What units are commonly used to measure volume?

Back

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

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 a container can hold.

Front

If a box has a volume of 1620 cm³ and a height of 10 cm, what is the area of the base?

Back

Area of the base = Volume ÷ height = 1620 cm³ ÷ 10 cm = 162 cm².

Front

What is the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

Front

How do you convert volume from cubic centimeters to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000.

Front

If the volume of a cone is given, how can you find the radius?

Back

Use the formula: Volume = (1/3) × π × radius² × height, and rearrange to find radius.