Let's solve each of the volume problems by counting the number of unit cubes in each shape. The
volume of a 3D shape made of unit cubes is simply the total number of cubes it contains.
We’ll go through each one step by step:
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1. Purple Shape
- This is a rectangular prism.
- Dimensions:
- Length = 3 cubes
- Width = 2 cubes
- Height = 2 cubes
- Volume = length × width × height = 3 × 2 × 2 =
12 cubes
✔ Answer: 12
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2. Blue Shape
- This is a large cube.
- Each side has 6 cubes.
- So, it’s a 6×6×6 cube.
- Volume = 6 × 6 × 6 =
216 cubes
✔ Answer: 216
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3. Green Shape
- This is a rectangular prism.
- Dimensions:
- Length = 4 cubes
- Width = 3 cubes
- Height = 3 cubes
- Volume = 4 × 3 × 3 =
36 cubes
✔ Answer: 36
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4. Black Shape
- This is a tall column (like a line).
- It’s 1 cube wide, 1 cube deep, and 8 cubes high.
- Volume = 1 × 1 × 8 =
8 cubes
✔ Answer: 8
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5. Yellow Shape (Flat)
- This is a flat rectangular prism.
- Dimensions:
- Length = 5 cubes
- Width = 3 cubes
- Height = 2 cubes
- Volume = 5 × 3 × 2 =
30 cubes
✔ Answer: 30
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6. Yellow Shape (Tall)
- This is a tall rectangular prism.
- Dimensions:
- Length = 3 cubes
- Width = 3 cubes
- Height = 5 cubes
- Volume = 3 × 3 × 5 =
45 cubes
✔ Answer: 45
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✔ Final Answers:
1.
12
2.
216
3.
36
4.
8
5.
30
6.
45
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Let me know if you'd like a visual explanation or help understanding how to count cubes!
Parent Tip: Review the logic above to help your child master the concept of free volume worksheet.
