Volume of a cube is 864cm³. Find the area of the face of the cube
each side is s=∛864
each face is s^2
To find the area of the face of the cube, you will need to determine the length of one side first.
The volume V of a cube is given by the formula V = s³, where s represents the length of one side of the cube.
In this case, the volume of the cube is 864 cm³. Therefore, we have the equation:
864 = s³
To solve for s, we will take the cube root of both sides of the equation:
∛864 = ∛(s³)
∛864 = s
Simplifying the cube root of 864 gives:
s ≈ 9.848
Now that we have found the length of one side, we can calculate the area of the face of the cube. The formula for the area A of one face of a cube is A = s².
Plugging in the value of s we found:
A = (9.848)²
A ≈ 97.029 cm²
Therefore, the area of the face of the cube is approximately 97.029 cm².
To find the area of the face of a cube, we need to use the formula: A = s^2, where A is the area and s is the side length of the cube.
In this case, we are given the volume of the cube, which is 864 cm³. The formula for the volume of a cube is V = s^3, where V is the volume and s is the side length of the cube.
So, we can solve for s by taking the cube root of the volume:
s = V^(1/3)
s = 864^(1/3)
s ≈ 9
Now that we have the side length, we can calculate the area of the face of the cube:
A = s^2
A = 9^2
A = 81 cm²
Therefore, the area of the face of the cube is 81 cm².