Volume of Composite 3D Figures Quick Check 2 of 52 of 5 Items Question Use the image to answer the question. What is the volume of the composite figure? (1 point) Responses 370 cm3 370 cm cubed 725 cm3 725 cm cubed 170 cm3 170 cm cubed 850 cm3 850 cm cubed Skip to navigation
To find the volume of the composite figure, we need to calculate the volume of each individual figure and then add them together.
1. Find the volume of the rectangular prism:
Volume = length x width x height
Volume = 10 cm x 5 cm x 5 cm
Volume = 250 cm³
2. Find the volume of the cylinder:
Volume = πr²h, where r is the radius and h is the height
Volume = π(5 cm)² x 10 cm
Volume = π(25 cm²) x 10 cm
Volume = 250π cm³
Total volume = Volume of rectangular prism + Volume of cylinder
Total volume = 250 cm³ + 250π cm³
Total volume ≈ 250 cm³ + 785.4 cm³
Total volume ≈ 1035.4 cm³
Therefore, the volume of the composite figure is approximately 1035.4 cm³. The closest response is 850 cm³.