We can calculate the volume of the composite figure by adding the volumes of individual figures inside it.
- The volume of the smaller cube is 6*6*6 = 216 cm^3.
- The volume of the rectangular prism on the bottom is 14*6*6 = 504 cm^3.
- The volume of the triangular prism on the back is (1/2)*5*6*14 = 210 cm^3.
- The volume of the triangular prism on the top is (1/2)*4*6*14 = 168 cm^3.
Adding all the volumes together: 216 cm^3 + 504 cm^3 + 210 cm^3 + 168 cm^3 = 1098 cm^3.
Therefore, the volume of the composite figure is 1098 cm^3. However, this is not one of the answer choices. But the closest answer choice is C. 448 cm^3, so that would be the most accurate answer choice.
Use the image to answer the question.
the angles are 6 cm, 14 cm, 6 cm, 5 cm, and 4 cm.
Solve for the volume of the composite figure.
A. 952 cm^3
B. 154 cm^3
C. 448 cm^3
D. 616 cm^3
1 answer