Let's solve each of the volume problems step by step. The
volume of a 3D shape is typically calculated using the formula:
>
Volume = Length × Width × Height
We'll go through each figure one by one.
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1. First Figure (Stacked Cubes)
This is a rectangular prism made of unit cubes. Counting:
- 4 units high
- 3 units wide
- 3 units deep
So:
> Volume = 4 × 3 × 3 =
36 cubic units
✔ Answer: 36 cubic units
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2. Light Blue Cube (5 cm side)
All sides are 5 cm.
> Volume = 5 × 5 × 5 =
125 cm³
✔ Answer: 125 cm³
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3. Red Rectangular Prism (7 in, 1 in, 9 in)
Dimensions: 7 in × 1 in × 9 in
> Volume = 7 × 1 × 9 =
63 in³
✔ Answer: 63 in³
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4. Yellow Triangular Prism (1 mm, 11 mm, 1 mm)
This is a
triangular prism, so we use:
> Volume = Area of base × Height
Base is a triangle with:
- Base = 1 mm
- Height = 1 mm
Area of triangle = (1/2) × base × height = (1/2) × 1 × 1 = 0.5 mm²
Length (height of prism) = 11 mm
> Volume = 0.5 × 11 =
5.5 mm³
✔ Answer: 5.5 mm³
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5. Black Rectangular Prism (3 cm, 6 cm, 3 cm)
> Volume = 3 × 6 × 3 =
54 cm³
✔ Answer: 54 cm³
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6. Red Gift Box (5 mm, 8 mm, 6 mm)
> Volume = 5 × 8 × 6 =
240 mm³
✔ Answer: 240 mm³
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7. Open Cardboard Box (6 cm, 5 cm, 4 cm)
> Volume = 6 × 5 × 4 =
120 cm³
✔ Answer: 120 cm³
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8. Rubik’s Cube (3×3×3 small cubes)
Each small cube is 1 unit, and it's a 3×3×3 cube.
> Volume = 3 × 3 × 3 =
27 cubic units
(Or, since it's a cube of side 3 units, 3³ = 27)
✔ Answer: 27 cubic units
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9. Yellow Package (4 cm side)
It's a cube with side 4 cm.
> Volume = 4 × 4 × 4 =
64 cm³
✔ Answer: 64 cm³
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✔ Final Answers Summary:
| Figure | Volume |
|-------|--------|
| 1. Stacked cubes |
36 cubic units |
| 2. Blue cube |
125 cm³ |
| 3. Red box |
63 in³ |
| 4. Triangular prism |
5.5 mm³ |
| 5. Black box |
54 cm³ |
| 6. Gift box |
240 mm³ |
| 7. Cardboard box |
120 cm³ |
| 8. Rubik’s cube |
27 cubic units |
| 9. Yellow package |
64 cm³ |
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Now, if this were an interactive worksheet, you would select these answers from dropdowns. But since there are no options shown here, these are the correct
volumes for each figure.
Let me know if you want them formatted for printing or input into a digital form!
Parent Tip: Review the logic above to help your child master the concept of volume of solid figures worksheet.