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Volume with Centicubes

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Volume with Centicubes

Volume with Centicubes

Centicubes arranged in rectangular prisms

📦 Part 1: Understanding Volume

1. What is volume?

The distance around a shape

The amount of 3D space an object occupies

The flat surface of a shape

The height of an object

2. When measuring volume with centicubes, we must make sure there are:

Gaps between the cubes

No gaps or overlaps

Overlapping cubes

Different sized cubes

3. Fill in the blanks:

To find the volume of a rectangular prism, we multiply ________ × ________ × ________.

🔢 Part 2: Counting Cubes

4. Look at this rectangular prism made of centicubes. Count the total number of cubes.

Imagine a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes high.

Total number of cubes: ________

5. A rectangular prism has these dimensions:

Length: 4 cubes, Width: 2 cubes, Height: 3 cubes

Volume = ________ cubic centimetres

6. Calculate the volume for each rectangular prism:

a) Length: 5cm, Width: 3cm, Height: 2cm

Volume = ________ cm³

b) Length: 6cm, Width: 4cm, Height: 1cm

Volume = ________ cm³

c) Length: 3cm, Width: 3cm, Height: 4cm

Volume = ________ cm³

🏗️ Part 3: Building with Layers

7. A rectangular prism is built in layers. If the bottom layer has 12 cubes and there are 3 layers, what is the total volume?

Answer: ________ cubes

8. Draw a rectangular prism that has a volume of 8 cubic centimetres. Show how you arranged the cubes.

My dimensions are: Length = _____ cm, Width = _____ cm, Height = _____ cm

9. Which of these could be the dimensions for a rectangular prism with a volume of 24 cm³? (Check all that apply)

4cm × 3cm × 2cm

6cm × 2cm × 2cm

8cm × 3cm × 1cm

12cm × 2cm × 1cm

1cm × 1cm × 24cm

🌟 Part 4: Problem Solving

10. Sarah built a rectangular prism using centicubes. It was 5 cubes long and 4 cubes wide. If she used 60 cubes in total, how many layers high was her prism?

Number of layers: ________

11. Match each rectangular prism with its correct volume:
1. 3cm × 2cm × 4cm
2. 5cm × 3cm × 2cm
3. 6cm × 1cm × 4cm
4. 2cm × 2cm × 5cm
A. 20 cm³
B. 24 cm³
C. 30 cm³
D. 24 cm³
12. Explain in your own words how you would find the volume of a rectangular prism using centicubes:
13. Real-world connection: Name two objects in your classroom or home that are rectangular prisms. How might knowing their volume be useful?

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