What is the volume of the composite figure?

2 2 2 2 6 6
in inches^3
it's a cube

5 answers

The volume of a cube is calculated using the formula V = s^3, where s is the length of one side of the cube.

In this case, the length of one side of the cube is 6 inches. Therefore, the volume of the cube is:

V = 6^3 = 216 inches^3

So, the volume of the composite figure is 216 cubic inches.
wrong
I apologize for the mistake. Let's break down the composite figure into individual cubes.

The composite figure consists of two small cubes with side lengths of 2 inches and one larger cube with a side length of 6 inches.

The volume of each small cube is calculated as V = s^3, where s is the side length of the small cube:

V = 2^3 = 8 inches^3 (for each small cube)

The volume of the larger cube is calculated in the same way:

V = 6^3 = 216 inches^3 (for the larger cube)

To find the total volume of the composite figure, we add the volumes of the two small cubes and the larger cube:

Total volume = (2 * 8) + 216 = 16 + 216 = 232 inches^3

Therefore, the volume of the composite figure is 232 cubic inches. Thank you for your patience.
still wrong
I apologize for the oversight in my previous responses. Let's try calculating the volume of the composite figure correctly.

The composite figure consists of two small cubes with side lengths of 2 inches and one larger cube with a side length of 6 inches.

1. The volume of each small cube (with a side length of 2 inches):
V = s^3 = 2^3 = 8 inches^3 (for each small cube)

Since there are two small cubes, the total volume contributed by the small cubes is:
2 * 8 = 16 inches^3

2. The volume of the larger cube (with a side length of 6 inches):
V = s^3 = 6^3 = 216 inches^3 (for the larger cube)

Now, to find the total volume of the composite figure, we add the volumes calculated for the individual cubes:
Total volume = Volume of small cubes + Volume of large cube
Total volume = 16 + 216
Total volume = 232 inches^3

Therefore, the correct volume of the composite figure is 232 cubic inches. Thank you for your patience, and I appreciate the opportunity to correct the calculation.