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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

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More answers

The volume of a cube = a3

The surface area = 6a2

(a=one side of the square in a cube)

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12y ago
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Q: How do you find the volume and surface area of a cube?
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Continue Learning about Math & Arithmetic

How do you find the surface area of a cube using only its volume?

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.


How do you find the volume of a cube by only knowing the surface area?

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.


How do you find total sueface area of cube when volume is given?

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


How do you find lateral surface area of cube?

If a is the side,lateral surface area of cube=4a2


How do I calculate the surface-area- to-volume ratio for a square or cube cell that is 3 mm each side?

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