Cube root of 216 = 6 units Therefore each face is 6*6 units which = 36 square units A cube has 6 faces, so 6*36 = 216 square units which is the surface area of the cube.
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
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
The total surface area is 150mm2 and the volume of the cube 125mm3
Surface area = 6s2, volume = s3
In my daily life, I have no use for the surface area and or volume of a cube. None whatsoever.
The surface area of a cube whose volume is 64 cubic units is: 96 square units.
The cube's volume is 1728cm3
1728cm3
384.5 units squared.
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
V = 343 units cubed.
V = 27 units3
6 units
The volume of a cube that has a surface area of 343 is 432.2
V = 64 cubic inches.
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
The total surface area is 150mm2 and the volume of the cube 125mm3