V = 343 units cubed.
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
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.