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.
Use the image to answer the question. What is the volume of the composite figure?
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