To solve this problem, we need to
find the surface area of each cube. The formula for the
surface area of a cube is:
$$
\text{Surface Area} = 6 \times (\text{side length})^2
$$
Each cube has 6 faces, and each face is a square with area $ s^2 $, where $ s $ is the side length.
Let’s go through each cube one by one.
---
1) Side = 5 cm
$$
\text{Surface Area} = 6 \times (5)^2 = 6 \times 25 = 150 \text{ cm}^2
$$
---
2) Side = 8 cm
$$
\text{Surface Area} = 6 \times (8)^2 = 6 \times 64 = 384 \text{ cm}^2
$$
---
3) Side = 6 m
$$
\text{Surface Area} = 6 \times (6)^2 = 6 \times 36 = 216 \text{ m}^2
$$
---
4) Side = 2 m
$$
\text{Surface Area} = 6 \times (2)^2 = 6 \times 4 = 24 \text{ m}^2
$$
---
5) Side = 10 ft
$$
\text{Surface Area} = 6 \times (10)^2 = 6 \times 100 = 600 \text{ ft}^2
$$
---
6) Side = 4 m
$$
\text{Surface Area} = 6 \times (4)^2 = 6 \times 16 = 96 \text{ m}^2
$$
---
7) Side = 16 miles
$$
\text{Surface Area} = 6 \times (16)^2 = 6 \times 256 = 1536 \text{ miles}^2
$$
---
8) Side = 12 in
$$
\text{Surface Area} = 6 \times (12)^2 = 6 \times 144 = 864 \text{ in}^2
$$
---
9) Side = 20 cm
$$
\text{Surface Area} = 6 \times (20)^2 = 6 \times 400 = 2400 \text{ cm}^2
$$
---
10) Side = 14 ft
$$
\text{Surface Area} = 6 \times (14)^2 = 6 \times 196 = 1176 \text{ ft}^2
$$
---
✔ Final Answers:
| Number | Surface Area |
|--------|--------------|
| 1) | 150 cm² |
| 2) | 384 cm² |
| 3) | 216 m² |
| 4) | 24 m² |
| 5) | 600 ft² |
| 6) | 96 m² |
| 7) | 1536 mi² |
| 8) | 864 in² |
| 9) | 2400 cm² |
| 10) | 1176 ft² |
---
🔍 Explanation:
- All cubes have equal sides.
- A cube has 6 identical square faces.
- So, total surface area = 6 × (side)².
- Always make sure units are consistent and included in the answer.
Let me know if you'd like a printable version or help with volume too!
Parent Tip: Review the logic above to help your child master the concept of volume of cubes worksheet.
