Volume of Rectangular Prisms and Irregular Figures

Front

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

Back

Volume = length × width × height.

Front

How do you calculate the volume of irregular figures?

Back

Break the figure into regular shapes, calculate the volume of each, and then sum them up.

Front

What units are commonly used to measure volume?

Back

Cubic centimeters (cm³), cubic meters (m³), and cubic inches (in³).

Front

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

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³.

Front

If a rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 4 cm, what is its volume?

Back

Volume = 10 cm × 5 cm × 4 cm = 200 cm³.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π × radius² × height = π × (3 cm)² × 5 cm ≈ 141.37 cm³.

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters (cm³). To convert, divide the volume in cm³ by 1000.

Front

What is the volume of a composite figure made up of a rectangular prism and a cylinder?

Back

Calculate the volume of each shape separately and then add them together.

Front

What is the significance of the volume in real-world applications?

Back

Volume is used to determine capacity, such as how much liquid a container can hold.

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area × Height) of the prism.