Math worksheet for calculating the volume of rectangular prisms using length, width, and height.

Let's solve each problem step by step using the formula for the volume of a rectangular prism:

> Volume = length × width × height
> or
> V = l × w × h

Each small cube represents 1 cm³, so we can count the cubes or use the given dimensions to find the volume.

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Problem 1

Given:
- Length = 4 cm (along the base, horizontal direction)
- Width = 1 cm (depth, going into the page)
- Height = 3 cm (vertical direction)

So:
- Length: 4 cm
- Width: 1 cm
- Height: 3 cm

Now calculate the volume:

> Volume = 4 × 1 × 3 = 12 cm³

✔ Answer:
- Length: 4 cm
- Width: 1 cm
- Height: 3 cm
- Volume: 4 × 1 × 3 = 12 cm³

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Problem 2

This is a cube-like shape made of smaller cubes. Let's count the number of cubes along each dimension.

Looking at the figure:
- It has 3 layers vertically → Height = 3 cm
- Each layer has 3 rows and 3 columns → Length = 3 cm, Width = 3 cm

So:
- Length: 3 cm
- Width: 3 cm
- Height: 3 cm

Volume = 3 × 3 × 3 = 27 cm³

✔ Answer:
- Length: 3 cm
- Width: 3 cm
- Height: 3 cm
- Volume: 3 × 3 × 3 = 27 cm³

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Problem 3

Again, analyze the structure:
- Length (horizontal): 3 cubes → 3 cm
- Width (depth): 2 cubes → 2 cm
- Height (vertical): 2 cubes → 2 cm

So:
- Length: 3 cm
- Width: 2 cm
- Height: 2 cm

Volume = 3 × 2 × 2 = 12 cm³

✔ Answer:
- Length: 3 cm
- Width: 2 cm
- Height: 2 cm
- Volume: 3 × 2 × 2 = 12 cm³

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✔ Final Answers:

#### 1)
- Length: 4 cm
- Width: 1 cm
- Height: 3 cm
- Volume: 4 × 1 × 3 = 12 cm³

#### 2)
- Length: 3 cm
- Width: 3 cm
- Height: 3 cm
- Volume: 3 × 3 × 3 = 27 cm³

#### 3)
- Length: 3 cm
- Width: 2 cm
- Height: 2 cm
- Volume: 3 × 2 × 2 = 12 cm³

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💡 Tip: Always double-check your counts by visualizing how many cubes are in one layer and how many layers there are. For example, in Problem 2, each layer has 9 cubes (3×3), and there are 3 layers → 9 × 3 = 27 cubes = 27 cm³. Same result!