The volume of this cube is: 1.728m3
The volume is 64 cubic cm
If a sphere and a cube have the same volume, the sphere will have a larger surface area. This is because the sphere has the smallest surface area to volume ratio of any geometric shape, resulting in a larger surface area for a given volume compared to other shapes like cubes. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere, while the surface area of a cube is given by 6s^2, where s is the length of one side of the cube.
A cube with this volume has a total surface area of 150 cm2. Each of its six sides comprises an area of 25 cm2
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!
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 = 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.
For a cube with sides of length x, surface area = 6x2 and volume = x3.