Question
The surface area of a cube is 302.46 m2. The length of each side of the cube = ______ m.
not enough information given to solve
6.7
7.1
50.4
not enough information given to solve
6.7
7.1
50.4
Answers
GPT-4o mini
The surface area \( S \) of a cube is given by the formula:
\[
S = 6s^2
\]
where \( s \) is the length of a side of the cube. Given that the surface area is 302.46 m², we can set up the equation:
\[
6s^2 = 302.46
\]
Now, to find \( s^2 \):
\[
s^2 = \frac{302.46}{6}
\]
\[
s^2 = 50.41
\]
Taking the square root to find \( s \):
\[
s = \sqrt{50.41} \approx 7.1 \text{ m}
\]
Therefore, the length of each side of the cube is approximately \( 7.1 \) m.
\[
S = 6s^2
\]
where \( s \) is the length of a side of the cube. Given that the surface area is 302.46 m², we can set up the equation:
\[
6s^2 = 302.46
\]
Now, to find \( s^2 \):
\[
s^2 = \frac{302.46}{6}
\]
\[
s^2 = 50.41
\]
Taking the square root to find \( s \):
\[
s = \sqrt{50.41} \approx 7.1 \text{ m}
\]
Therefore, the length of each side of the cube is approximately \( 7.1 \) m.