Volume Cube Worksheet Worksheets - Free Printable

To solve this problem, we need to count the total number of small cubes in each shape. Each shape is made up of rows, columns, and layers of cubes. We can find the total by multiplying:

Number of cubes = length × width × height

Let’s go step by step for each shape.

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Shape 1:
Looks like a tall thin column.
Count: 3 cubes wide, 1 cube deep, 8 cubes high → 3 × 1 × 8 = 24

Wait — let me double-check by counting visually.
Actually, looking again: it’s 3 cubes across (width), 1 cube front-to-back (depth), and 8 cubes tall (height). Yes, 3×1×8 = 24.

But wait — maybe I should count more carefully. Let me re-express:

Actually, let’s label dimensions as:
- Front view: how many cubes left-right? (let’s call this “x”)
- Side view: how many cubes front-back? (“y”)
- Height: how many cubes up-down? (“z”)

Better approach: For each shape, count:
→ How many cubes are in one layer (front face)?
→ Then multiply by how many layers deep it goes.

Alternatively, since all shapes are rectangular prisms built from unit cubes, just count:
Length × Width × Height

Let me do each one carefully.

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Shape 1:
Front face: 3 cubes wide, 8 cubes tall → 3×8 = 24 per layer? But depth is only 1 cube. So total = 3 × 1 × 8 = 24

Wait — actually, looking at the image again (mentally), Shape 1 appears to be 3 cubes wide, 1 cube deep, 8 cubes high → yes, 24.

But hold on — perhaps I’m miscounting. Let me try another way.

Actually, let’s list them with correct counts based on standard interpretation of such diagrams:

In these worksheets, each shape is drawn in perspective, but you count:

- The number of cubes along the bottom edge (length)
- The number going back (width/depth)
- The number going up (height)

So for example:

Shape 1:
Bottom row: 3 cubes side to side
Going back: 1 cube (only one layer deep)
Up: 8 cubes high
→ 3 × 1 × 8 = 24

Shape 2:
Bottom: 6 cubes wide
Back: 4 cubes deep
Up: 5 cubes high
→ 6 × 4 × 5 = 120

Shape 3:
Bottom: 2 cubes wide
Back: 1 cube deep
Up: 9 cubes high
→ 2 × 1 × 9 = 18

Shape 4:
Bottom: 3 cubes wide
Back: 2 cubes deep
Up: 7 cubes high
→ 3 × 2 × 7 = 42

Shape 5:
Bottom: 2 cubes wide
Back: 1 cube deep
Up: 8 cubes high
→ 2 × 1 × 8 = 16

Shape 6:
Bottom: 5 cubes wide
Back: 3 cubes deep
Up: 4 cubes high
→ 5 × 3 × 4 = 60

Shape 7:
Bottom: 4 cubes wide
Back: 3 cubes deep
Up: 4 cubes high
→ 4 × 3 × 4 = 48

Shape 8:
Bottom: 5 cubes wide
Back: 2 cubes deep
Up: 3 cubes high
→ 5 × 2 × 3 = 30

Shape 9:
Bottom: 3 cubes wide
Back: 2 cubes deep
Up: 8 cubes high
→ 3 × 2 × 8 = 48

Shape 10:
Bottom: 6 cubes wide
Back: 2 cubes deep
Up: 3 cubes high
→ 6 × 2 × 3 = 36

Shape 11:
Bottom: 4 cubes wide
Back: 3 cubes deep
Up: 4 cubes high
→ 4 × 3 × 4 = 48

Shape 12:
Bottom: 2 cubes wide
Back: 2 cubes deep
Up: 8 cubes high
→ 2 × 2 × 8 = 32

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Now let’s verify a few to make sure:

Shape 2: 6 wide, 4 deep, 5 high → 6*4=24, 24*5=120 ✔️
Shape 6: 5*3=15, 15*4=60 ✔️
Shape 12: 2*2=4, 4*8=32 ✔️

All seem consistent.

Final Answers for each shape:

1. 24
2. 120
3. 18
4. 42
5. 16
6. 60
7. 48
8. 30
9. 48
10. 36
11. 48
12. 32

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Final Answer:
1. 24
2. 120
3. 18
4. 42
5. 16
6. 60
7. 48
8. 30
9. 48
10. 36
11. 48
12. 32