Let’s go through each problem one by one. We need to decide if the given dimensions make a
cube or a
rectangular prism.
What’s the difference?
- A
cube has all three 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.
We’ll check each row, convert units if needed, and see if L = W = H.
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1. L = 40 cm, W = 40 cm, H = 40 cm
→ All same →
Cube
2. L = 130 in, W = 120 in, H = 120 in
→ L is different →
Rectangular Prism
3. L = 5 m, W = 5 m, H = 500 cm
→ Convert H to meters: 500 cm = 5 m → All same →
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! → 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 → So: 100 in, 100 in, 100 in →
Cube
9. L = 98 cm, W = 98 cm, H = 97 cm
→ H 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
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prisms worksheet.