Volume Cube Worksheet Worksheets - Free Printable

I'll solve this step by step by counting the cubes in each of the 12 shapes shown in the image.

Let me start with shape #1 and work my way through all 12 shapes.

Shape #1:
This is a 4x4x4 cube. So, 4 × 4 × 4 = 64 cubes.

Shape #2:
This appears to be a 5x3x2 rectangular prism. So, 5 × 3 × 2 = 30 cubes.

Shape #3:
This looks like a 3x2x2 structure with some missing parts. Let me count carefully:
- Bottom layer: 3×2 = 6 cubes
- Middle layer: 3×2 = 6 cubes (but one missing, so 5)
- Top layer: 3×1 = 3 cubes (only the back row)
Total: 6 + 5 + 3 = 14 cubes

Shape #4:
This is an L-shaped structure.
- Main block: 4x3x2 = 24 cubes
- Added on top: 2x2x1 = 4 cubes
Total: 24 + 4 = 28 cubes

Shape #5:
This is a 4x4x3 rectangular prism. So, 4 × 4 × 3 = 48 cubes.

Shape #6:
This is a 3x2x2 structure.
- Bottom layer: 3×2 = 6 cubes
- Top layer: 3×2 = 6 cubes
Total: 6 + 6 = 12 cubes

Shape #7:
This is an L-shaped structure.
- Main block: 4x3x2 = 24 cubes
- Missing corner: 1x1x1 = 1 cube
Total: 24 - 1 = 23 cubes

Shape #8:
This is a 4x4x2 rectangular prism with an additional 2x2x1 block attached.
- Main block: 4×4×2 = 32 cubes
- Additional block: 2×2×1 = 4 cubes
Total: 32 + 4 = 36 cubes

Shape #9:
This is a tall L-shaped structure.
- Main vertical column: 4x2x3 = 24 cubes
- Horizontal extension: 2x2x1 = 4 cubes
Total: 24 + 4 = 28 cubes

Shape #10:
This is a staircase-like structure.
- Bottom layer: 3×3 = 9 cubes
- Middle layer: 2×2 = 4 cubes
- Top layer: 1×1 = 1 cube
Total: 9 + 4 + 1 = 14 cubes

Shape #11:
This is a 4x3x1 rectangular prism. So, 4 × 3 × 1 = 12 cubes.

Shape #12:
This is a 4x3x2 rectangular prism with some missing parts.
- Bottom layer: 4×3 = 12 cubes
- Top layer: 4×3 = 12 cubes (but 4 missing from the front)
Total: 12 + (12 - 4) = 12 + 8 = 20 cubes

Let me double-check each calculation to ensure accuracy.

Actually, let me re-examine some of these more carefully, as I may have miscounted.

For Shape #3: Looking again, it's 3 units wide, 2 units deep, and 2 units high, but with one cube missing from the top layer. So 3×2×2 = 12, minus 1 = 11 cubes.

For Shape #7: It's 4 units wide, 3 units deep, and 2 units high, but with one corner cube missing. So 4×3×2 = 24, minus 1 = 23 cubes.

For Shape #9: It's 4 units wide, 2 units deep, and 3 units high for the main part, plus a 2×2×1 extension. So 4×2×3 = 24, plus 2×2×1 = 4, total 28 cubes.

For Shape #12: It's 4 units wide, 3 units deep, and 2 units high, but with the front 2×2 area missing from the top layer. So bottom layer: 4×3 = 12, top layer: (4×3) - (2×2) = 12 - 4 = 8, total 12 + 8 = 20 cubes.

Here are the final counts for each shape:

1. 64 cubes
2. 30 cubes
3. 11 cubes
4. 28 cubes
5. 48 cubes
6. 12 cubes
7. 23 cubes
8. 36 cubes
9. 28 cubes
10. 14 cubes
11. 12 cubes
12. 20 cubes