Sure! Let’s solve this step by step.
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🧠 Concept: Surface Area of a Cube
A cube has
6 identical square faces.
To find the
surface area of a cube, you:
1. Calculate the
area of one face = side × side = side²
2. Multiply that by
6 (because there are 6 faces).
So,
Total Surface Area = 6 × (side)²
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Now let’s solve for each cube:
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##
✔ Cube 1: Side = 10 cm
-
Area of 1 face = 10 cm × 10 cm =
100 square cm
-
Total surface area = 100 cm² × 6 =
600 cm²
> Fill in:
> - Area of 1 face =
10 cm x
10 cm =
100 square cm
> - Total surface area =
100 cm² x
6 =
600 cm²
---
##
✔ Cube 2: Side = 11 cm
-
Area of 1 face = 11 cm × 11 cm =
121 square cm
-
Total surface area = 121 cm² × 6 =
726 cm²
> Fill in:
> - Area of 1 face =
11 cm x
11 cm =
121 square cm
> - Total surface area =
121 cm² x
6 =
726 cm²
---
##
✔ Cube 3: Side = 12 cm
-
Area of 1 face = 12 cm × 12 cm =
144 square cm
-
Total surface area = 144 cm² × 6 =
864 cm²
> Fill in:
> - Area of 1 face =
12 cm x
12 cm =
144 square cm
> - Total surface area =
144 cm² x
6 =
864 cm²
---
##
✔ Cube 4: Side = 13 cm
-
Area of 1 face = 13 cm × 13 cm =
169 square cm
-
Total surface area = 169 cm² × 6 =
1014 cm²
> Fill in:
> - Area of 1 face =
13 cm x
13 cm =
169 square cm
> - Total surface area =
169 cm² x
6 =
1014 cm²
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## ✍️ Final Answers to Fill In:
First Cube (10 cm):
- Area of 1 face =
10 cm x
10 cm =
100 square cm
- Total surface area =
100 cm² x
6 =
600 cm²
Second Cube (11 cm):
- Area of 1 face =
11 cm x
11 cm =
121 square cm
- Total surface area =
121 cm² x
6 =
726 cm²
Third Cube (12 cm):
- Area of 1 face =
12 cm x
12 cm =
144 square cm
- Total surface area =
144 cm² x
6 =
864 cm²
Fourth Cube (13 cm):
- Area of 1 face =
13 cm x
13 cm =
169 square cm
- Total surface area =
169 cm² x
6 =
1014 cm²
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✔ You’re all set! Just copy these numbers into the blanks on your worksheet. Let me know if you’d like to understand *why* we multiply by 6 or how this applies to real-life objects!
Parent Tip: Review the logic above to help your child master the concept of surface area cube worksheet.
