MD.3.5c Volume of Composite Figures

Front

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

Back

Volume = length × width × height.

Front

If a rectangular prism has a length of 4 units, width of 3 units, and height of 5 units, what is its volume?

Back

Volume = 4 × 3 × 5 = 60 cubic units.

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple shapes.

Front

How do you find the volume of a composite figure?

Back

Find the volume of each simple shape and then add them together.

Front

What is the volume of a rectangular prism with a base area of 20 cm² and a height of 4 cm?

Back

Volume = base area × height = 20 cm² × 4 cm = 80 cm³.

Front

If the volume of a rectangular prism is 100 cm³ and the base area is 25 cm², what is the height?

Back

Height = Volume ÷ base area = 100 cm³ ÷ 25 cm² = 4 cm.

Front

What units are used to measure volume?

Back

Cubic units (e.g., cubic centimeters, cubic meters, cubic inches).

Front

What is the volume of a cube with a side length of 3 units?

Back

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

Front

If a rectangular prism has a length of 10 cm, width of 5 cm, and height of 2 cm, what is its volume?

Back

Volume = 10 cm × 5 cm × 2 cm = 100 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 × 3² × 5 ≈ 141.37 cm³.