Let's solve each problem step by step.
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🔷 Understanding the Concept
The
surface area of a cube is calculated using the formula:
>
Surface Area = 6 × (side length)²
This is because a cube has
6 identical square faces, and the area of one face is
side × side = side².
We are given
net diagrams of cubes (unfolded shapes), with side lengths labeled. Each net represents a cube, so we can use the side length to compute the surface area.
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✔ Problem 1
- Side length =
2 cm
- Area of one face = $ 2 \times 2 = 4 \text{ cm}^2 $
- Surface area = $ 6 \times 4 = 24 \text{ cm}^2 $
✔ Answer: 24 cm²
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✔ Problem 2
- Side length =
3 in
- Area of one face = $ 3 \times 3 = 9 \text{ in}^2 $
- Surface area = $ 6 \times 9 = 54 \text{ in}^2 $
✔ Answer: 54 in²
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✔ Problem 3
- Side length =
5 cm
- Area of one face = $ 5 \times 5 = 25 \text{ cm}^2 $
- Surface area = $ 6 \times 25 = 150 \text{ cm}^2 $
✔ Answer: 150 cm²
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✔ Problem 4
- Side length =
4 in
- Area of one face = $ 4 \times 4 = 16 \text{ in}^2 $
- Surface area = $ 6 \times 16 = 96 \text{ in}^2 $
✔ Answer: 96 in²
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📝 Final Answers:
1)
24 cm²
2)
54 in²
3)
150 cm²
4)
96 in²
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💡 Summary
Each figure is a
net of a cube, and the labeled dimension is the
side length of each square face. Since all faces are equal in a cube, you just need to:
1. Square the side length.
2. Multiply by 6.
That’s it!
✔
Parent Tip: Review the logic above to help your child master the concept of surface area worksheet 5th grade.
