The volume of any cube is (length of one side)3The surface area is (length of one side)2 x 6 [since a cube has six sides]
If the surface area of a cube is 294cm^2, the length of one side is equal to the square root of (294/4), which is approximately 8.57cm.
First you can use the volume to determine the side legnth of a cube. The legnth of a sideis equal to the cube root of its volume. In this case the volume is 125 and the cubed root of 125 is 5. So the legnth of a side is 5. The area of one side of the cube is equal to the width times the height. In this case, the area of the side is 5 times 5, or 25. The surface area is the area of all sides of the cube. The cube has 6 sides, each with an area of 25. So the surface area is 6 times 25 or 150. The reduced equation would be SA = 6 times (Volume to the 2/3 power)
Divide the surface area by six. That will give you the area of one face, which will be a perfect square. The square root of that number will give you the length of a side. The cube of the side will be the volume.
To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5
Surface Area of Cube is 6 x a^2 where a is the length of one side of cube. Volume of Cube is a^3 where a is the length of one side of cube.
Total Surface Area of Cube is 6a2 . Here "a" is the "length of each side" of the cube.
The surface area of a cube can be calculated by finding the area of each of the cube's six square faces and adding them together. Since all sides of a cube are equal, the area of one face is the side length squared. Therefore, the surface area of a cube with a side length of 8mm is 6 times 8mm squared, which equals 384 square millimeters.
216k2
486
If you know the length of a side (a) , the surface area is 6a2
surface area of cube=6*side*side =6*7.2*7.2
The surface area is quadrupled.
24 cm2
The surface area of a cube is 6*s2 where s is the length of each side (or edge).
Total Surface Area = 6L2. Where L = the length of one side of the cube.
The surface of the cube is 6 times this length squared - 6L2.