This is a picture of a cube and the net for the cube.

Question

What is the surface area of the cube?

Responses

196 cm²
196 cm²

504 cm²
504 cm²

1,176 cm²
1,176 cm²

2,744 cm²
2,744 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 14 millimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 14 millimeters.

Answer 1

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

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

Given that the edge length of the cube is 14 millimeters, we first calculate the area of one face of the cube:

$$\text{Area of one face}=(\text{side length}{)}^2={14}^2=196{\text{ mm}}^2$$

Now, multiply the area of one face by 6 (since a cube has 6 faces):

$$\text{Surface Area}=6\times 196{\text{ mm}}^2=1176{\text{ mm}}^2$$

Thus, the surface area of the cube is 1,176 mm².

If we convert this to cm² (since there are 100 mm² in 1 cm²):

$$\text{Surface Area}=\frac{1176{\text{ mm}}^2}{100}=11.76{\text{ cm}}^2$$

However, it seems like you might also need the surface area in cm² and clarification on your response options, as they are in cm².

Since the correct calculation for the surface area in mm² is 1,176 mm² or 11.76 cm². Assuming 14 mm was supposed to be presented in cm (as 14 cm), the prior calculation presented would be correct.

If 14 mm is the edge size stated, then the answer is indeed 1,176 mm² not matching your cm² options and seems like there was a misinterpretation of dimensions.

Please verify the problem statement which provides edges in either (mm/cm) for correct options. But clearly, if asked the way you provided and as converted, 1,176 mm² aligns with the calculation provided in edges of cube being valid in response too.

To confirm, please choose 1,176 mm² according to cube calculations above unless otherwise stated.