Worksheet on Volume with two block structures, Object A and Object B, demonstrating volume measurement with unit cubes.

Let's solve the problem step by step based on the image you provided, which shows two 3D objects made of unit cubes. The goal is to find the volume of each object.

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🔷 Understanding Volume

The volume of a solid made of unit cubes is simply the number of unit cubes it contains.

Each small green cube is a unit cube, so:
- Volume = Number of unit cubes

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## ✔ Step 1: Analyze Object A

Object A is an irregular shape made of stacked unit cubes.

We'll count the number of cubes layer by layer (from bottom to top).

Let’s break it down by rows or levels:

Layer 1 (Bottom layer):

- Front row: 4 cubes
- Middle row: 4 cubes
- Back row: 4 cubes
→ Total in bottom layer: 4 + 4 + 4 = 12 cubes

Wait — let's look more carefully at the structure.

Actually, from the diagram:
- It looks like a stepped structure going from left to right.
- Let's go column by column from front to back and left to right.

Alternatively, we can count by heights in each column.

But since it's a 3D figure, let's count each vertical stack.

Looking closely at Object A:

It appears to be built in three rows (front to back), and four columns (left to right). But not all columns are full.

Let’s go column by column, from left to right, and count how many cubes high each column is.

#### Column 1 (leftmost):
- Height = 3 cubes (stacked vertically)

#### Column 2:
- Height = 3 cubes

#### Column 3:
- Height = 2 cubes

#### Column 4:
- Height = 2 cubes

Wait — but that doesn’t account for depth.

Actually, this shape has depth — multiple rows in the back.

Let’s consider it as having 3 layers in depth (front, middle, back), and 4 columns in width (left to right).

So, we’ll make a grid: 4 columns × 3 rows (depth), and check height per cell.

Let’s define:
- Columns: Left to Right (1 to 4)
- Rows: Front to Back (1 to 3)

Now, for each position (column, row), determine how many cubes are stacked.

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Counting Object A:

| Column | Row 1 (Front) | Row 2 (Middle) | Row 3 (Back) |
|--------|---------------|----------------|--------------|
| 1 | 3 | 3 | 3 |
| 2 | 3 | 3 | 2 |
| 3 | 2 | 2 | 2 |
| 4 | 1 | 1 | 1 |

Now sum all these values:

- Column 1: 3 + 3 + 3 = 9
- Column 2: 3 + 3 + 2 = 8
- Column 3: 2 + 2 + 2 = 6
- Column 4: 1 + 1 + 1 = 3

Total volume of Object A = 9 + 8 + 6 + 3 = 26 cubes

✔ So, Volume of Object A = 26 cubic units

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## ✔ Step 2: Analyze Object B

Object B is a rectangular prism made of unit cubes.

We can see:
- Length (left to right): 5 cubes
- Width (front to back): 4 cubes
- Height (top to bottom): 3 cubes

So, volume = length × width × height

$$
\text{Volume} = 5 \times 4 \times 3 = 60 \text{ cubic units}
$$

✔ So, Volume of Object B = 60 cubic units

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## ✔ Final Answer:

- Volume of Object A = 26 cubic units
- Volume of Object B = 60 cubic units

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📌 Summary:

- Object A is irregular; we counted cubes by layer or column.
- Object B is a rectangular prism; we used the formula $ V = l \times w \times h $

Let me know if you'd like a visual breakdown or want to compare volumes!