MD.3.5c Volume of Composite Figures

Front

What is the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated by multiplying its length, width, and height. Formula: Volume = Length × Width × Height.

Front

How do you find the volume of a composite figure?

Back

To find the volume of a composite figure, break it down into simpler shapes (like rectangular prisms or cylinders), calculate the volume of each shape, and then add them together.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: Volume = π × radius² × height.

Front

If a rectangular prism has a volume of 120 cm³, a length of 10 cm, what is the width if the height is 3 cm?

Back

Width = Volume / (Length × Height) = 120 cm³ / (10 cm × 3 cm) = 4 cm.

Front

What is the unit of measurement for volume?

Back

The unit of measurement for volume is cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Front

What is a composite figure?

Back

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

Front

How do you convert cubic inches to cubic feet?

Back

To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 cubic foot = 12 × 12 × 12 = 1728 cubic inches).

Front

What is the volume of a cube with a side length of 5 cm?

Back

Volume = Side³ = 5 cm × 5 cm × 5 cm = 125 cm³.

Front

If the volume of a rectangular prism is 420 cm³, length is 12 cm, and width is 7 cm, what is the height?

Back

Height = Volume / (Length × Width) = 420 cm³ / (12 cm × 7 cm) = 5 cm.

Front

What is the volume of a figure with a base area of 10 cm² and a height of 6 cm?

Back

Volume = Base Area × Height = 10 cm² × 6 cm = 60 cm³.