Calculating Volume

Front

What is the formula used to find the volume of a rectangular prism?

Back

V = Lwh, where V is volume, L is length, w is width, and h is height.

Front

What is volume?

Back

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

Front

What units are used to measure volume?

Back

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

Front

How do you calculate the volume of a cube?

Back

V = s³, where s is the length of a side of the cube.

Front

What is the volume of a rectangular prism with length 4 units, width 3 units, and height 2 units?

Back

V = Lwh = 4 * 3 * 2 = 24 cubic units.

Front

Which label would NOT be appropriate for volume?

Back

Square miles is not appropriate for volume; it measures area.

Front

What is the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

If a prism has a volume of 12 cubic units and a height of 3 units, what is the area of the base?

Back

Area of the base = Volume / Height = 12 / 3 = 4 square units.

Front

What is the volume of a prism with a base area of 10 square units and a height of 5 units?

Back

V = Base Area * Height = 10 * 5 = 50 cubic units.

Front

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

Back

Increasing the height increases the volume, while decreasing the height decreases the volume, assuming the base area remains constant.