V = 343 units cubed.
The volume of this cube is: 1.728m3
The volume is 64 cubic cm
surface area of sphere = 4πR2 volume of sphere = 4/3πR3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3πR3 s = [cube root (4/3π)] R surface area ofcube = 6 (cube root( 4/3π) times R)2 surface area sphere = 4πR2= 12.56 R2 surface area cube = 15.44 R2 So a sphere has less surface area than a cube with the same volume. Where R= radius of the sphere s=length of side of the cube Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see
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
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
For a cube with sides of length x, surface area = 6x2 and volume = x3.