Volume and Missing Measurements

Front

What is volume?

Back

Volume is the amount of space an object 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 formula for the volume of a cube?

Back

Volume = side³.

Front

If the volume of a cube is 64 cm³, what is the length of one side?

Back

4 cm (since 4³ = 64).

Front

What is the relationship between volume and dimensions?

Back

Volume increases with the increase in any of the dimensions (length, width, height) of an object.

Front

How do you find a missing measurement if the volume is known?

Back

Rearrange the volume formula to solve for the missing dimension.

Front

If a rectangular prism has a volume of 240 in³ and a height of 10 in, what is the area of the base?

Back

Area of the base = Volume / height = 240 in³ / 10 in = 24 in².

Front

What is the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

If the volume of a cylinder is 100π cm³ and the height is 10 cm, what is the radius?

Back

Radius = √(Volume / (π × height)) = √(100π / (π × 10)) = √10 cm.

Front

What units are used to measure volume?

Back

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