A solid figure is built from unit cubes (each cube is cubic unit). It has 3 layers. The bottom layer has 4 cubes, the middle layer has 4 cubes stacked directly on top of them, and the top layer has 4 cubes stacked directly on top again. The cubes fill the space without gaps or overlaps. Volume is measured in cubic units. Which claim about cubic units is incorrect?
- The volume is 12 cubic units because there are 12 unit cubes filling the solid.
- If you remove 1 unit cube from the solid, the volume decreases by 1 cubic unit.
- The volume is 6 cubic units because there are 6 faces on each cube. (correct answer)
- Each unit cube counts as 1 cubic unit of volume.
Explanation: Volume measures the amount of space a solid figure occupies by counting the number of cubic units it contains. The stacked layers of unit cubes must fill the space without gaps or overlaps to represent the true volume. With 3 layers each of 4 cubes, the total of 12 cubic units directly connects to the number of cubes used. Counting involves summing all cubes across layers, not relating to the faces of individual cubes. A misconception is that volume relates to the 6 faces per cube, like claiming 6 cubic units for this figure, but volume counts whole cubes, not faces. Cubic units provide a foundational way to quantify three-dimensional space. This principle generalizes to measuring volumes of various objects by envisioning them filled with unit cubes.