If the surface area of a cube is 150e2 what is the volume of the cube?
surface area=6s^2 where s is side length.
volume=s^3
s^2=1/6 (150)
s=sqrt(150/6)=sqrt25=5
volume=125
To find the volume of a cube, we need to know the length of its edges. However, we are given the surface area of the cube in this case.
To find the length of the edges, we can utilize the formula for the surface area of a cube, which is 6 times the square of one of its edges.
Let's assume the length of one of the cube's edges as "x". Thus, the surface area of the cube equals 6x², according to the formula.
Now, we are given that the surface area of the cube is 150e². Therefore, we can set up the equation:
6x² = 150e²
To solve for "x", we need to isolate it.
First, let's divide both sides of the equation by 6 to get:
x² = 25e²
Next, we can take the square root of both sides to eliminate the square:
x = 5e
Now that we know the length of one of the cube's edges, we can find the volume by cubing this length. Thus,
Volume of the cube = x³ = (5e)³ = 125e³
Therefore, the volume of the cube is 125e³.