Finding Volume of Composite Figures: Additive Property of Volume

The video tutorial explains how to find the volume of a composite three-dimensional figure composed of two rectangular prisms. It begins by defining volume and explaining how to calculate it for rectangular prisms. The tutorial then discusses how to handle more complex figures by decomposing them into simpler shapes. It demonstrates methods for cutting figures vertically and horizontally to facilitate volume calculation. The video concludes with a step-by-step calculation of the volume of a composite figure, emphasizing the importance of determining accurate dimensions and using the correct formulas.

What is the formula to calculate the volume of a rectangular prism?

• Length x Width

• Width x Height

• Length x Width x Height

• Length + Width + Height

Why might it be necessary to divide a complex 3D figure into simpler shapes?

• To reduce its size

• To simplify the calculation of its volume

• To change its color

• To make it look more interesting

What are the two methods mentioned for dividing a complex figure into simpler prisms?

• Vertically and horizontally

• Horizontally and circularly

• Horizontally and diagonally

• Diagonally and vertically

In the example provided, what is the volume of the green rectangular prism?

• 8 cubic inches

• 4 cubic inches

• 12 cubic inches

• 16 cubic inches

What is the total volume of the composite figure in the example?

• 20 cubic inches

• 22 cubic inches

• 24 cubic inches

• 26 cubic inches