Let's solve each of the volume problems by counting the number of unit cubes in each 3D shape. The
volume of a rectangular prism made of unit cubes is calculated by multiplying:
>
Volume = Length × Width × Height
We'll count the cubes for each shape.
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1. Red Shape
-
Length: 4 cubes
-
Width: 3 cubes
-
Height: 2 cubes
> Volume = 4 × 3 × 2 =
24 cubes
✔ Answer: 24
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2. Yellow Shape
-
Length: 6 cubes
-
Width: 3 cubes
-
Height: 3 cubes
> Volume = 6 × 3 × 3 =
54 cubes
✔ Answer: 54
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3. Blue Shape
-
Length: 5 cubes
-
Width: 4 cubes
-
Height: 3 cubes
> Volume = 5 × 4 × 3 =
60 cubes
✔ Answer: 60
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4. Dark Blue Shape
-
Length: 3 cubes
-
Width: 3 cubes
-
Height: 5 cubes
> Volume = 3 × 3 × 5 =
45 cubes
✔ Answer: 45
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5. Green Shape
-
Length: 6 cubes
-
Width: 4 cubes
-
Height: 2 cubes
> Volume = 6 × 4 × 2 =
48 cubes
✔ Answer: 48
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6. Orange Shape
-
Length: 3 cubes
-
Width: 3 cubes
-
Height: 5 cubes
> Volume = 3 × 3 × 5 =
45 cubes
✔ Answer: 45
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✔ Final Answers:
1.
24
2.
54
3.
60
4.
45
5.
48
6.
45
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💡
Tip: You can verify by imagining slicing the shape into layers and counting how many cubes are in each layer, then multiplying by the number of layers.
Let me know if you'd like a visual breakdown!
Parent Tip: Review the logic above to help your child master the concept of free volume worksheet.
