What is the volume of a composite figure 3 inches 3 inches 3 inches 4“ 11 inches
To find the volume of a composite figure, we need to break it down into simpler shapes and then calculate the volume of each individual shape before adding them together.
In this case, the composite figure consists of two parts:
1. A cube with dimensions 3 inches x 3 inches x 3 inches
2. A rectangular prism with dimensions 3 inches x 4 inches x 11 inches
Let's calculate the volume of each part separately:
1. Volume of the cube:
Volume = length x width x height
Volume = 3 inches x 3 inches x 3 inches
Volume = 27 cubic inches
2. Volume of the rectangular prism:
Volume = length x width x height
Volume = 3 inches x 4 inches x 11 inches
Volume = 132 cubic inches
Now, add the volumes of the cube and the rectangular prism together:
Total volume = volume of cube + volume of rectangular prism
Total volume = 27 cubic inches + 132 cubic inches
Total volume = 159 cubic inches
Therefore, the total volume of the composite figure is 159 cubic inches.