What is the volume of the composite figure?
2in 2in 2in 6in 6in
To find the volume of the composite figure, we first need to break it down into individual shapes and calculate the volume of each shape separately.
The composite figure can be split into two rectangular prisms and a cube.
1. The cube has dimensions of 2in x 2in x 2in.
Volume of cube = length x width x height = 2in x 2in x 2in = 8 cubic inches.
2. The first rectangular prism has dimensions of 2in x 2in x 6in.
Volume of first rectangular prism = length x width x height = 2in x 2in x 6in = 24 cubic inches.
3. The second rectangular prism has dimensions of 6in x 6in x 2in.
Volume of second rectangular prism = length x width x height = 6in x 6in x 2in = 72 cubic inches.
Now, we add the volumes of the individual shapes to find the total volume of the composite figure:
Total volume = Volume of cube + Volume of first rectangular prism + Volume of second rectangular prism
Total volume = 8 cubic inches + 24 cubic inches + 72 cubic inches = 104 cubic inches
Therefore, the volume of the composite figure is 104 cubic inches.