Let’s solve each problem step by step.
We are finding the
volume of rectangular prisms made of unit cubes.
To find volume, we multiply:
Length × Width × Height
We count how many cubes are along each dimension (length, width, height) for each prism.
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Problem 1:
Looking at the shape:
- Length (front to back): 5 cubes
- Width (side to side): 3 cubes
- Height (top to bottom): 2 cubes
Volume = 5 × 3 × 2 =
30
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Problem 2:
Shape is a cube-like block.
- Length: 3
- Width: 3
- Height: 3
Volume = 3 × 3 × 3 =
27
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Problem 3:
Tall thin block.
- Length: 2
- Width: 2
- Height: 4
Volume = 2 × 2 × 4 =
16
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Problem 4:
Small tall block.
- Length: 2
- Width: 1
- Height: 3
Volume = 2 × 1 × 3 =
6
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Problem 5:
Big block.
- Length: 4
- Width: 4
- Height: 3
Volume = 4 × 4 × 3 =
48
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Problem 6:
Block with depth.
- Length: 4
- Width: 3
- Height: 3
Volume = 4 × 3 × 3 =
36
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Problem 7:
Larger block.
- Length: 5
- Width: 4
- Height: 3
Volume = 5 × 4 × 3 =
60
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Problem 8:
Flat wide block.
- Length: 5
- Width: 4
- Height: 2
Volume = 5 × 4 × 2 =
40
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Problem 9:
Very large block.
- Length: 6
- Width: 5
- Height: 4
Volume = 6 × 5 × 4 =
120
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Now let’s write all answers in order as requested:
Final Answer:
1. 5 3 2 30
2. 3 3 3 27
3. 2 2 4 16
4. 2 1 3 6
5. 4 4 3 48
6. 4 3 3 36
7. 5 4 3 60
8. 5 4 2 40
9. 6 5 4 120
Parent Tip: Review the logic above to help your child master the concept of volume of cube worksheet.