Let's solve each problem by counting the number of unit cubes in each 3D shape. The
volume of a shape made up of unit cubes is simply the total number of cubes it contains.
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1. Blue Cube
- It looks like a cube made of smaller cubes.
- Count the layers: 4 layers high, 4 wide, and 4 deep.
- So, volume = $ 4 \times 4 \times 4 = 64 $
✔ Volume = 64
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2. Green Tower
- This is a tall rectangular prism.
- It has:
- 1 unit wide
- 1 unit deep
- 10 units high
- Volume = $ 1 \times 1 \times 10 = 10 $
✔ Volume = 10
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3. White Cube
- This appears to be a larger cube.
- Each side has 5 small cubes.
- So, $ 5 \times 5 \times 5 = 125 $
✔ Volume = 125
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4. Orange Rectangular Prism
- Dimensions:
- 1 unit wide
- 5 units deep (or long)
- 6 units high
- Volume = $ 1 \times 5 \times 6 = 30 $
✔ Volume = 30
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5. Yellow Tower
- Similar to the green one but wider.
- Looks like:
- 2 units wide
- 1 unit deep
- 8 units high
- Volume = $ 2 \times 1 \times 8 = 16 $
✔ Volume = 16
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6. Red Rectangular Prism
- Looks like:
- 2 units wide
- 2 units deep
- 7 units high
- Volume = $ 2 \times 2 \times 7 = 28 $
✔ Volume = 28
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✔ Final Answers:
1.
64
2.
10
3.
125
4.
30
5.
16
6.
28
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Explanation: To find the volume of a 3D shape made of unit cubes, multiply the length × width × height (in terms of cubes). This gives the total number of unit cubes inside the shape — which is the volume.
Parent Tip: Review the logic above to help your child master the concept of counting cubes to find volume worksheet.
