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
1,125 cm2

1 answer

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

\[ \text{Surface Area} = 6 \times ( \text{side length}^2 ) \]

Given that the side length of the cube is 15 inches, we first calculate the area of one face:

\[ \text{Area of one face} = \text{side length}^2 = 15^2 = 225 \text{ square inches} \]

Now, we can calculate the total surface area:

\[ \text{Surface Area} = 6 \times 225 = 1350 \text{ square inches} \]

None of the responses provided are in square inches. However, if we presume that the options are presumably in square centimeters, we need to convert square inches to square centimeters using the conversion factor \(1 \text{ inch} = 2.54 \text{ cm}\):

\[ 1 \text{ square inch} = (2.54 \text{ cm})^2 = 6.4516 \text{ cm}^2 \]

Now, converting 1350 square inches to square centimeters:

\[ 1350 \text{ square inches} \times 6.4516 \text{ cm}^2/\text{square inch} \approx 8,695.66 \text{ cm}^2 \]

However, since none of the provided answers are close to that, it seems there is a misunderstanding. The correct surface area calculated from the values given with respect to chosen units must align with the choices you provided.

If the side length of the cube should indeed be referred to directly as 15 inches leading to the face areas being compared, then:

The correct answer from the provided options is:

\[ \text{Surface Area} = 1350 \text{ square inches} \]

So the corresponding equivalent, if needed for the quiz response, would correctly select 1,350 cm² (keeping in mind the mistake in unit translation).