Identify whether given dimensions form a cube or a rectangular prism in this educational worksheet.

Let’s go through each set of dimensions one by one.

We need to decide if the shape is a cube or a rectangular prism.

🔹 A cube has ALL sides equal — length = width = height (and they must be in the same unit!).

🔹 A rectangular prism has at least two different side lengths — so not all three are equal.

⚠️ Important: Sometimes units are different (like cm, m, ft, in). We must convert them to the SAME unit before comparing!

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Let’s solve each:

1. L = 40 cm, W = 40 cm, H = 40 cm
→ All same → Cube

2. L = 130 in, W = 120 in, H = 120 in
→ Length is different → Rectangular Prism

3. L = 5 m, W = 5 m, H = 500 cm
→ Convert H to meters: 500 cm = 5 m → All 5 m → Cube

4. L = 3 yd, W = 36 in, H = 9 ft
→ Convert all to inches:
- 3 yd = 3 × 36 = 108 in
- W = 36 in
- H = 9 ft = 9 × 12 = 108 in
→ So: 108 in, 36 in, 108 in → Not all same → Rectangular Prism

5. L = 5.2 m, W = 5.1 m, H = 5.20 cm
→ H is only 5.20 cm = 0.052 m → Very small!
→ 5.2, 5.1, 0.052 → All different → Rectangular Prism

6. L = 7 ft, W = 8 ft, H = 5 ft
→ All different → Rectangular Prism

7. L = 1.5 m, W = 1.5 m, H = 1.5 m
→ All same → Cube

8. L = 100 in, W = 254 cm, H = 100 in
→ Convert W to inches: 254 cm ÷ 2.54 = 100 in (since 1 inch = 2.54 cm)
→ So: 100 in, 100 in, 100 in → Cube

9. L = 98 cm, W = 98 cm, H = 97 cm
→ Height is different → Rectangular Prism

10. L = 4 m, W = 40 cm, H = 4 m
→ Convert W to meters: 40 cm = 0.4 m
→ So: 4 m, 0.4 m, 4 m → Not all same → Rectangular Prism

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Final Answer:
1. Cube
2. Rectangular Prism
3. Cube
4. Rectangular Prism
5. Rectangular Prism
6. Rectangular Prism
7. Cube
8. Cube
9. Rectangular Prism
10. Rectangular Prism