What is the surface area of a cube with a side length of 4 cm?

What is the surface area of a cube with a side length of 4 cm?

• A. 64 cm²
• B. 96 cm²
• C. 48 cm²
• D. 32 cm²

Answer: (B)

To find the surface area of a cube, you can use the formula: \[ \text{Surface Area} = 6s^2 \] where \( s \) is the length of one side of the cube. In this scenario, the side length is given as 4 cm. First, calculate the area of one face of the cube by substituting the side length into the formula: \[ \text{Area of one face} = s^2 = 4^2 = 16 \, \text{cm}^2 \] Since a cube has 6 identical faces, the total surface area can be found by multiplying the area of one face by 6: \[ \text{Total Surface Area} = 6 \times 16 \, \text{cm}^2 = 96 \, \text{cm}^2 \] Thus, the surface area of the cube with a side length of 4 cm is indeed 96 cm². This confirms that the selected answer is correct as it reflects the accurate application of the surface area formula for a cube.

To find the surface area of a cube, you can use the formula:

[ \text{Surface Area} = 6s^2 ]

where ( s ) is the length of one side of the cube. In this scenario, the side length is given as 4 cm.

First, calculate the area of one face of the cube by substituting the side length into the formula:

[ \text{Area of one face} = s^2 = 4^2 = 16 , \text{cm}^2 ]

Since a cube has 6 identical faces, the total surface area can be found by multiplying the area of one face by 6:

[ \text{Total Surface Area} = 6 \times 16 , \text{cm}^2 = 96 , \text{cm}^2 ]

Thus, the surface area of the cube with a side length of 4 cm is indeed 96 cm². This confirms that the selected answer is correct as it reflects the accurate application of the surface area formula for a cube.