Use the image to answer the question.

there is a composite figure with the measurements of 6 cm, 14 cm, 6 cm, 5 cm, and 4 cm
Solve for the volume of the composite figure.
A. 952 cm^3
B. 616 cm^3
C. 154 cm^3
D. 448 cm^3

3 answers

To solve for the volume of the composite figure, we need to find the volume of each individual shape and then add them together.

The composite figure can be broken down into a rectangular prism with dimensions 14 cm, 6 cm, and 6 cm, and a rectangular prism with dimensions 5 cm, 4 cm, and 6 cm.

The volume of the first rectangular prism is:
V1 = lwh
V1 = 14 cm * 6 cm * 6 cm
V1 = 504 cm^3

The volume of the second rectangular prism is:
V2 = lwh
V2 = 5 cm * 4 cm * 6 cm
V2 = 120 cm^3

Therefore, the total volume of the composite figure is:
Total Volume = V1 + V2
Total Volume = 504 cm^3 + 120 cm^3
Total Volume = 624 cm^3

Therefore, the correct answer is not listed, none of the options above are correct.
CHOOSE ONE THAT IS THE CLOSEST TO THE CORRECT ANSWER
In that case, the closest option to the correct answer is B. 616 cm^3.
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