3
If the surface area of a cube is 294 m2, what is the
volume of the cube, in meters cubed?
A.
343
B.
304
C.
216
D.
188
E.
161
The formula for the surface area of a cube is 6s^2, where s is the length of one side of the cube.
If the surface area is 294 m^2, then we can set up the equation:
6s^2 = 294.
Divide both sides of the equation by 6:
s^2 = 49.
Take the square root of both sides:
s = 7.
Now, we can calculate the volume of the cube using the formula V = s^3:
V = 7^3 = 343.
Therefore, the volume of the cube is 343 m^3.
The answer is A. 343.