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Volume calculation worksheet featuring various 3D shapes with labeled dimensions for educational use.

Worksheet titled "Volume" with eight 3D shapes (cubes, rectangular prisms, and a Rubik's cube) and their dimensions, asking to calculate volume and select the correct option from a dropdown box.

Worksheet titled "Volume" with eight 3D shapes (cubes, rectangular prisms, and a Rubik's cube) and their dimensions, asking to calculate volume and select the correct option from a dropdown box.

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Show Answer Key & Explanations Step-by-step solution for: Volume of Solid Shapes worksheet
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.
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