Question

Use the image to answer the question.
the angles are 5 cm, 5 cm, 10 cm, 5 cm, 5 cm, 5 cm, and 12 cm.
What is the volume of the composite figure?
A. 725 cm^3
B. 850 cm^3
C. 170 cm^3
D. 370 cm^3

Answer 1

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

1. The first shape is a rectangular prism with dimensions 5 cm, 5 cm, and 10 cm. The volume of a rectangular prism is calculated by multiplying the length, width, and height:
Volume = length x width x height
Volume = 5 cm x 5 cm x 10 cm
Volume = 250 cm^3

2. The second shape is a cube with dimensions 5 cm on all sides. The volume of a cube is calculated by raising the side length to the power of 3:
Volume = side length^3
Volume = 5 cm x 5 cm x 5 cm
Volume = 125 cm^3

3. The third shape is a rectangular prism with dimensions 5 cm, 5 cm, and 12 cm:
Volume = length x width x height
Volume = 5 cm x 5 cm x 12 cm
Volume = 300 cm^3

Now, add the volumes of the three shapes together:
250 cm^3 + 125 cm^3 + 300 cm^3 = 675 cm^3

Therefore, the volume of the composite figure is 675 cm^3.

The closest answer choice is:
A. 725 cm^3