Question

A cube's side length measures 15 inches. What is the surface area of the cube?(1 point)
Responses

225 cm2
225 cm2

3,375 cm2
3,375 cm2

1,350 cm2
1,350 cm2

1,125 cm2

1 answer

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

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

where \(s\) is the side length of the cube.

Given that the side length \(s = 15\) inches, we can calculate the surface area as follows:

\[ \text{Surface Area} = 6 \times (15 \text{ inches})^2 \] \[ = 6 \times 225 \text{ square inches} \] \[ = 1350 \text{ square inches} \]

Now, we need to convert square inches to square centimeters. Since \(1 \text{ inch} = 2.54 \text{ cm}\), \(1 \text{ square inch} = (2.54 \text{ cm})^2 = 6.4516 \text{ cm}^2\).

Therefore, to convert \(1350 \text{ square inches}\) to square centimeters:

\[ 1350 \text{ in}^2 \times 6.4516 \text{ cm}^2/\text{in}^2 \approx 8,693.66 \text{ cm}^2 \]

Since this value does not match any of the choices you provided, it seems that there might be a misunderstanding regarding the units.

If we only consider the surface area in square inches, the correct answer is:

1,350 in²

If the question requires the answer in square centimeters, then we concluded that the surface area is approximately 8,693.66 cm².

None of the provided options are correct based on the conversion. However, if you were seeking the surface area in square inches, 1,350 in² is accurate. Among your choices, the closest (if interpreted in a different context) would likely be 1,350 cm² if we just used the side lengths of the cube without converting properly.

Please let me know if you need further assistance!