What is the volume of the composite figure?

2inch 2inch 2inch 2inch 6inch 6inch

1 answer

To find the volume of the composite figure, we need to split it into two separate figures - a square prism and a rectangular prism.

The square prism has a base area of 2 inches x 2 inches = 4 square inches and a height of 6 inches.

The rectangular prism has a base area of 2 inches x 6 inches = 12 square inches and a height of 6 inches.

The total volume of the composite figure is the sum of the volumes of the two prisms:
Volume = (4 square inches x 6 inches) + (12 square inches x 6 inches)
Volume = 24 cubic inches + 72 cubic inches
Volume = 96 cubic inches

Therefore, the volume of the composite figure is 96 cubic inches.