6cm 14cm 6cm 4cm 5cm
Solve for the volume of the composite figure.
1. 154cm
2. 616cm
3. 448cm
4. 952cm
To find the volume of the composite figure, we need to break it down into separate shapes and then add up their volumes.
Given:
- A rectangular prism with dimensions 6cm x 14cm x 6cm
- A rectangular prism with dimensions 4cm x 6cm x 5cm
First, calculate the volume of the first rectangular prism:
Volume = length x width x height
Volume = 6cm x 14cm x 6cm
Volume = 504cm³
Next, calculate the volume of the second rectangular prism:
Volume = length x width x height
Volume = 4cm x 6cm x 5cm
Volume = 120cm³
Now, add both volumes together to get the total volume of the composite figure:
Total Volume = 504cm³ + 120cm³
Total Volume = 624cm³
Therefore, the volume of the composite figure is 624cm³.
None of the provided answers match the correct volume, which is 624cm³.