WRONG!!!!
Volume = 96 cm^(2) in incorrect.
96 cm^(2) is an AREA not a volume.
However, if you mean
Volume = 96 cm^(3)
Then we take the CUBE Root to find the length of one side.
cu.rt.(96cm^(3) = 4.5788... cm
Hence the AREA of ONE face is 4.57888.. cm X 4.5788... cm = 20.56999... cm^(2)
There being six(6) faces to a CUBE then the surface area is
125.7955.. .cm^(2)
Area of one face - 64cm2 Volume of whole cube - 512cm3
You would have to specify the shape for which we are finding these quantities. But let us say that it is a cube, which is the easiest. The length of an edge of the cube, multiplied by itself gives the area of a face, and multiplied by itself again gives the volume. So the cube root of the volume is the edge length, and then the square of the edge length is the surface area of one face of the cube, which multiplied by 6 gives the area of the entire cube.
Each face of the cube has 1/6 of the area = 78/6 = 13 in2 .Each side of the face = square root of the area = sqrt(13) inches .The volume of the cube is (side length)3 = [ sqrt(13) ]3 = 46.872 in3 (rounded)
49 square units because the cube root of 343 is 7 and 7*7 = 49
For a cube with sides of length x, volume (V) = x to the third power (x3). The surface area of one face of the cube would equal x2 or V/x. A cube has six faces, so: Total surface area = V/x X 6.
surface area of a cube x = length of edge surface area of 1 face is "x squared" written (x^2) a cube has 6 surfaces, total surface area = 6(x^2) 96cm2 = 6(x^2) solve for x
25 cm2
cube root of volume gives side length, then square this to find area of one face.
Area of one face - 64cm2 Volume of whole cube - 512cm3
A cube with this volume has a total surface area of 150 cm2. Each of its six sides comprises an area of 25 cm2
If a face on a cube is 49 square meters the cube's volume is: 343 m3
If each edge of a cube is w, then the area of each face of the cube is w2 .Since the cube has 6 faces, its total surface area is 6w2.The volume of the cube is w3 .
You would have to specify the shape for which we are finding these quantities. But let us say that it is a cube, which is the easiest. The length of an edge of the cube, multiplied by itself gives the area of a face, and multiplied by itself again gives the volume. So the cube root of the volume is the edge length, and then the square of the edge length is the surface area of one face of the cube, which multiplied by 6 gives the area of the entire cube.
Each face of the cube has 1/6 of the area = 78/6 = 13 in2 .Each side of the face = square root of the area = sqrt(13) inches .The volume of the cube is (side length)3 = [ sqrt(13) ]3 = 46.872 in3 (rounded)
Divide the surface area by six. That will give you the area of one face, which will be a perfect square. The square root of that number will give you the length of a side. The cube of the side will be the volume.
-- If you don't know anything about the cube, then you just have to measure it. -- If you're told something about the cube, like for example its volume, or the area of a face, or the total area of all its faces, then you can use the formulas you know that express the relationship between the volume or area of a cube and the length of its edges.
The easiest way to find the volume of a cube is to find the length of its edgeand then cube that number.Here's how to find the length of the edge from the total surface area:-- A cube has 6 faces. If its total surface area is 96 square units, thenthe area of each face is 16 square units.-- Each face is a square. If the area of the square is 16 square units, thenthe side of the square is 4 units.But the side of the square face is the same as the edge of the cube !-- The volume of the cube is (4 x 4 x 4) = 64 cubic units.