Problem Description:
The task is to determine the volume of each object by counting the number of centimeter cubes that make up the solid. The volume is measured in cubic centimeters (cm³).
Solution:
#### Step 1: Understand the Task
- Each small cube represents a
1 cm³ volume.
- To find the volume of a solid, count the total number of these 1 cm³ cubes that fit inside the solid.
#### Step 2: Analyze Each Object
##### Object 1:
- The object is a rectangular prism.
- Dimensions:
- Length: 3 cubes
- Width: 2 cubes
- Height: 2 cubes
- Total volume = Length × Width × Height
$$
\text{Volume} = 3 \times 2 \times 2 = 12 \, \text{cm}^3
$$
##### Object 2:
- The object is a rectangular prism.
- Dimensions:
- Length: 4 cubes
- Width: 2 cubes
- Height: 2 cubes
- Total volume = Length × Width × Height
$$
\text{Volume} = 4 \times 2 \times 2 = 16 \, \text{cm}^3
$$
##### Object 3:
- The object is a rectangular prism.
- Dimensions:
- Length: 5 cubes
- Width: 2 cubes
- Height: 1 cube
- Total volume = Length × Width × Height
$$
\text{Volume} = 5 \times 2 \times 1 = 10 \, \text{cm}^3
$$
##### Object 4:
- The object is a rectangular prism.
- Dimensions:
- Length: 5 cubes
- Width: 4 cubes
- Height: 2 cubes
- Total volume = Length × Width × Height
$$
\text{Volume} = 5 \times 4 \times 2 = 40 \, \text{cm}^3
$$
#### Step 3: Write Down the Answers
1. Volume =
12 cm³
2. Volume =
16 cm³
3. Volume =
10 cm³
4. Volume =
40 cm³
Final Answer:
$$
\boxed{12, 16, 10, 40}
$$
Parent Tip: Review the logic above to help your child master the concept of volume worksheet for 5th grade.
