Certainly! Let's solve the problem step-by-step.
1. Understanding the problem:
- We have a cube with a side length of 8 cm.
- We need to find the surface area and the volume of the cube.
2. Surface Area Calculation:
- A cube has 6 identical square faces.
- The area of one square face is found by squaring the side length.
- So, if the side length of the cube is 8 cm, the area of one face is [tex]\(8 \, \text{cm} \times 8 \, \text{cm} = 64 \, \text{cm}^2\)[/tex].
- Since the cube has 6 faces, the total surface area is [tex]\(6 \times 64 \, \text{cm}^2 = 384 \, \text{cm}^2\)[/tex].
3. Volume Calculation:
- The volume of a cube is found by cubing the side length.
- Therefore, with a side length of 8 cm, the volume is [tex]\(8 \, \text{cm} \times 8 \, \text{cm} \times 8 \, \text{cm} = 512 \, \text{cm}^3\)[/tex].
So, the cube's surface area is [tex]\(384 \, \text{cm}^2\)[/tex] and the cube's volume is [tex]\(512 \, \text{cm}^3\)[/tex].
