Counting Cubes worksheet for kids, featuring two activities to count cubes and calculate volume using 1cm cubes.

Problem Analysis:

The task involves two activities:
1. Activity 1: Count the number of cubes used to make each shape.
2. Activity 2: Calculate the volume of each shape in \( \text{cm}^3 \), given that each cube has a side length of 1 cm.

Solution:

#### Activity 1: Counting Cubes
We need to count the number of cubes in each of the three shapes shown.

##### Shape 1 (Blue):
- Bottom Layer: 4 cubes
- Middle Layer: 3 cubes
- Top Layer: 2 cubes
- Total: \( 4 + 3 + 2 = 9 \) cubes

##### Shape 2 (Orange):
- Bottom Layer: 6 cubes
- Middle Layer: 4 cubes
- Top Layer: 1 cube
- Total: \( 6 + 4 + 1 = 11 \) cubes

##### Shape 3 (Green):
- Bottom Layer: 9 cubes
- Middle Layer: 5 cubes
- Top Layer: 2 cubes
- Total: \( 9 + 5 + 2 = 16 \) cubes

So, the answers for Activity 1 are:
- Blue shape: 9 cubes
- Orange shape: 11 cubes
- Green shape: 16 cubes

#### Activity 2: Calculating Volume
Since each cube has a side length of 1 cm, the volume of one cube is \( 1 \text{ cm}^3 \). The volume of each shape is equal to the number of cubes used to build it.

##### Shape 1 (Yellow):
- Number of cubes: 10
- Volume: \( 10 \text{ cm}^3 \)

##### Shape 2 (Light Blue):
- Number of cubes: 12
- Volume: \( 12 \text{ cm}^3 \)

##### Shape 3 (Pink):
- Number of cubes: 14
- Volume: \( 14 \text{ cm}^3 \)

So, the answers for Activity 2 are:
- Yellow shape: \( 10 \text{ cm}^3 \)
- Light Blue shape: \( 12 \text{ cm}^3 \)
- Pink shape: \( 14 \text{ cm}^3 \)

Final Answers:

- Activity 1:
- Blue shape: \( \boxed{9} \) cubes
- Orange shape: \( \boxed{11} \) cubes
- Green shape: \( \boxed{16} \) cubes

- Activity 2:
- Yellow shape: \( \boxed{10} \text{ cm}^3 \)
- Light Blue shape: \( \boxed{12} \text{ cm}^3 \)
- Pink shape: \( \boxed{14} \text{ cm}^3 \)