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
The total surface area is 150mm2 and the volume of the cube 125mm3
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 = 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
The total surface area is 150mm2 and the volume of the cube 125mm3
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
V = 64 cubic inches.