The surface area of a cube whose volume is 64 cubic units is: 96 square units.
The cube's volume is 1728cm3
The volume of a cube that has a surface area of 343 is 432.2
If a side is Lcm long, L X L X L=Volume L=7cm Surface area of one face=49cm2 No of faces=6 Total area=49X6=294
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.
The volume of a cube having a surface area of 150 units2 is about 125 units3
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
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
For a cube with sides of length x, surface area = 6x2 and volume = x3.