A cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex.
The cube formula:
Volume of Cube = a³
Surface Area of Cube = 6a²
Diagonal of Cube = Sqrt(3)*a
(a = represents a side)
Lets say that the number for the given side is 3, this is how the calculation would look:
Volume = a³ = 3³ = 27
Surface Area = 6 * 4² = 6 * 9 = 54
And the Diagonal = Sqrt(3)*a = Sqrt(3) * 3 = 1.73 * 3 = 5.19
The volume of a cube = a3
The surface area = 6a2
(a=one side of the square in a cube)
Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.
From the surface area, calculate the length of each side: area = 6 x side2.Once you know this side, you can get the cube of it, to obtain the volume.
Cube root the volume and square it multiplying it by 6 As for example if its volume was 27 then its cube root is 3 and 32*6 = 54 which is the cube's total surface area
If a is the side,lateral surface area of cube=4a2
The answer to your question is below along with a general formula so you can see where the answer comes from.The formula for the volume of a cube with side length L is L3The formula for the surface area comes from finding the area of one side of the cube and multiplying that by 6 since there are 6 sides. The area of one side is L2 sothe surface area is 6L2 .Now if we want ratio of surface area to volume for any cube, it would be 6L2 /L3This simplifies to 6/LSo in the case of a cube with side length 3 mm it is 6/3 or 2.Method 2 would be to find the surface area and volume for your cube only and then divide.The volume is 33 and the surface area is 6(32 ) so the ratio of surface area to volume is6(32 )/33 =2
Write a c program to compute the surface area and volume of a cube
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 surface area of the cube is 150 square meters.
Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.
If you mean surface area, the answer is 197.372 mm2
From the surface area, calculate the length of each side: area = 6 x side2.Once you know this side, you can get the cube of it, to obtain the volume.
V = 512 cm3
Cube root the volume and square it multiplying it by 6 As for example if its volume was 27 then its cube root is 3 and 32*6 = 54 which is the cube's total surface area
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.
This should be solved in two steps. 1) Use the formula for the area of a cube, and solve for the length of a side of the cube. 2) Using this length, it is easy to find out the volume, with the formula for the volume of a cube.
SA = 54 square inches.
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