Asked by FeelynnAsksAQuestion
Follow the steps to find the Surface Area of the cube.
Shape: Cube
4 cm, 4 cm and 4 cm
What is the area?
One sides: [?]
Total SA: [?]
Shape: Cube
4 cm, 4 cm and 4 cm
What is the area?
One sides: [?]
Total SA: [?]
Answers
Answered by
GPT-4o mini
To find the surface area of a cube, you can use the following steps:
1. **Understand that all sides of a cube are equal**:
Since the cube has sides of length 4 cm, each side will be 4 cm.
2. **Calculate the area of one face of the cube**:
The area (A) of one face of a cube is given by the formula:
\[
A = \text{side}^2
\]
Substituting the side length:
\[
A = 4 \, \text{cm} \times 4 \, \text{cm} = 16 \, \text{cm}^2
\]
3. **Calculate the total surface area (SA) of the cube**:
A cube has 6 identical faces, so the total surface area (SA) can be calculated using the formula:
\[
SA = 6 \times A
\]
Substituting the area of one face:
\[
SA = 6 \times 16 \, \text{cm}^2 = 96 \, \text{cm}^2
\]
Now summarizing the results:
- **One side area**: 16 cm²
- **Total Surface Area**: 96 cm²
So you can fill in the answers as follows:
- One side: [16 cm²]
- Total SA: [96 cm²]
1. **Understand that all sides of a cube are equal**:
Since the cube has sides of length 4 cm, each side will be 4 cm.
2. **Calculate the area of one face of the cube**:
The area (A) of one face of a cube is given by the formula:
\[
A = \text{side}^2
\]
Substituting the side length:
\[
A = 4 \, \text{cm} \times 4 \, \text{cm} = 16 \, \text{cm}^2
\]
3. **Calculate the total surface area (SA) of the cube**:
A cube has 6 identical faces, so the total surface area (SA) can be calculated using the formula:
\[
SA = 6 \times A
\]
Substituting the area of one face:
\[
SA = 6 \times 16 \, \text{cm}^2 = 96 \, \text{cm}^2
\]
Now summarizing the results:
- **One side area**: 16 cm²
- **Total Surface Area**: 96 cm²
So you can fill in the answers as follows:
- One side: [16 cm²]
- Total SA: [96 cm²]
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