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)
Example 6:A cube has a surface area of 150. What is the volume of the cube?Solution:The surface area of the cube is:SA= 6a2Thus:a2= SA/6 = 150/6 = 25anda = 5 cmThe volume of the cube is:V= a3V = 53V = 125 cm3
Find the cube root of 125 which is 5. That tells you each of the lengths. Multiply the one side by another to get the area of one face. It is now 25. Multiply 25 by 6 to get the surface area of combined area of all the faces. This is now 150.
The volume of the cube is: 125 cubic cm
5^3 =125
The side length of a cube with a volume of 125 units cubed is: 5 units.
The volume of a cube having a surface area of 150 units2 is about 125 units3
The surface area of the cube is 150 square meters.
The surface area will be 150 square inches.
It is 6 : 5.
Example 6:A cube has a surface area of 150. What is the volume of the cube?Solution:The surface area of the cube is:SA= 6a2Thus:a2= SA/6 = 150/6 = 25anda = 5 cmThe volume of the cube is:V= a3V = 53V = 125 cm3
A cube that equals 125 is 5x5x5. It has six sides that are 5x5 25x6=150 square units.
A cube with this volume has a total surface area of 150 cm2. Each of its six sides comprises an area of 25 cm2
25 cubic inches
It is: 6*(5*5) = 150 square inches
Side is cube root of 125 ie 5 so suface area is 6 x 5 x 5 ie 150 squinches
Well, darling, to find the volume of a cube, you simply cube the length of one side. Since the surface area of a cube is 6 times the side length squared, you can solve for the side length by taking the square root of 150/6. Once you have the side length, just cube it to find the volume. Easy peasy lemon squeezy!
Find the cube root of 125 which is 5. That tells you each of the lengths. Multiply the one side by another to get the area of one face. It is now 25. Multiply 25 by 6 to get the surface area of combined area of all the faces. This is now 150.