Calculate the surface area of a puzzle cube that has an edge length of 16.35 mm. Round to the nearest whole number.(1 point)

Question

Responses

196 mm2
196

mm
2
196 mm squared

1,604 mm2
1
,
604

mm
2
1,604 mm squared

267 mm2
267

mm
2
267 mm squared

9,624 mm2

Answer 1

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

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

Given the edge length of the cube is 16.35 mm, we can substitute this value into the formula:

\[ \text{Surface Area} = 6 \times (16.35 , \text{mm})^2 \]

Calculating \( (16.35 , \text{mm})^2 \):

\[ (16.35)^2 = 267.6225 , \text{mm}^2 \]

Now multiply by 6:

\[ \text{Surface Area} = 6 \times 267.6225 , \text{mm}^2 = 1605.735 , \text{mm}^2 \]

Rounding this to the nearest whole number gives:

\[ \text{Surface Area} \approx 1606 , \text{mm}^2 \]

However, the closest option you provided is \( 1,604 , \text{mm}^2 \).

So, the final answer is:

1,604 mm².