Composite Figures and Volume Calculations

This video tutorial explains how to find the volume of a composite figure composed of multiple rectangular prisms. It demonstrates two methods of splitting the figure, horizontally and vertically, to calculate the volume of each prism and then sum them to find the total volume. The tutorial provides step-by-step instructions, including how to use line tools for splitting and calculating dimensions, and emphasizes that the total volume remains the same regardless of the splitting method used.

What is a composite figure composed of?

• Multiple cubes

• A single rectangular prism

• A single cube

• Multiple rectangular prisms

What is the first step in finding the volume of a composite figure?

• Calculate the surface area

• Add all dimensions together

• Split the figure into two rectangular prisms

• Measure the height

How do you calculate the volume of a rectangular prism?

• Width x Height

• Length x Width

• Length x Width x Height

• Length + Width + Height

What is the volume of the first prism after horizontal splitting?

• 66 cubic inches

• 90 cubic inches

• 36 cubic inches

• 60 cubic inches

What is the total volume of the composite figure after horizontal splitting?

• 60 cubic inches

• 66 cubic inches

• 126 cubic inches

• 90 cubic inches

What is the length of the left prism after vertical splitting?

• 11 inches

• 6 inches

• 4 inches

• 2 inches

What is the volume of the right prism after vertical splitting?

• 60 cubic inches

• 66 cubic inches

• 90 cubic inches

• 36 cubic inches

What is the total volume of the composite figure after vertical splitting?

• 126 cubic inches

• 60 cubic inches

• 66 cubic inches

• 90 cubic inches

Why is the total volume the same regardless of the splitting method?

• Because the figure is a cube

• Because the volume calculation method is incorrect

• Because the figure is symmetrical

• Because the figure's dimensions do not change

What is the significance of the total volume being the same in both methods?

• It shows that the figure is a cube

• It confirms the accuracy of the volume calculation

• It indicates an error in measurement

• It suggests the figure is not a composite figure