Use the image to answer the question. What is the volume of the composite figure?
To find the volume of the composite figure, we need to separate it into two simpler shapes and calculate the volumes separately.
The composite figure consists of a rectangular prism and a pyramid.
1. Volume of rectangular prism:
Volume = length x width x height
Volume = 10 cm x 5 cm x 4 cm
Volume = 200 cm³
2. Volume of pyramid:
Volume = (1/3) x base area x height
Base area = 5 cm x 2 cm = 10 cm²
Volume = (1/3) x 10 cm² x 4 cm
Volume = 13.33 cm³
Total volume of the composite figure = Volume of prism + Volume of pyramid
Total volume = 200 cm³ + 13.33 cm³
Total volume ≈ 213.33 cm³
Therefore, the volume of the composite figure is approximately 213.33 cm³.