How to Find the Volume of a Composite Figure

The video tutorial explains how to find the volume of a composite figure composed of a cube and a right triangular prism. It begins by identifying the shapes and using a math reference sheet to find the formulas for their volumes. The tutorial calculates the volume of the triangular prism using the formula for the area of a triangle and the height of the prism. It then calculates the volume of the cube using the formula for a cube's volume. Finally, it combines the two volumes to find the total volume of the composite figure, resulting in the final answer.

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

• Calculate the volume of the cube.

• Identify the shapes involved and refer to the math reference sheet.

• Ignore the triangular prism.

• Directly add the dimensions of the shapes.

How do you calculate the area of the triangular base of the prism?

• Base plus height.

• Base divided by height.

• Base times height times height.

• Base times height divided by two.

What is the volume of the triangular prism if the base is 8 and the height is 6?

• 96

• 48

• 144

• 192

What formula is used to calculate the volume of a cube?

• Length times width times height.

• Base times height.

• Area times height.

• Side cubed.

What is the total volume of the composite figure?

• 512

• 192

• 320

• 704