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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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11y ago
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11y ago

The volume of a cube = a3

The surface area = 6a2

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

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Q: How do you find the volume and surface area of a cube?
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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

Related questions

Write a c program to find Volume and surface area of cube?

Write a c program to compute the surface area and volume of a cube


The volume of a cube is 125 cubic mtr find the surface area of the cube?

The surface area of the cube is 150 square meters.


How do you find the direct proportion between volume and surface area 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


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.


The volume of cube root is 188.67mm find the area of the cube?

If you mean surface area, the answer is 197.372 mm2


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 the volume of cube only knowing its 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.


What is the volume of a cube with a surface area of 42cm squared?

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.


What is the surface area for a cube with the volume of 125?

First you can use the volume to determine the side legnth of a cube. The legnth of a sideis equal to the cube root of its volume. In this case the volume is 125 and the cubed root of 125 is 5. So the legnth of a side is 5. The area of one side of the cube is equal to the width times the height. In this case, the area of the side is 5 times 5, or 25. The surface area is the area of all sides of the cube. The cube has 6 sides, each with an area of 25. So the surface area is 6 times 25 or 150. The reduced equation would be SA = 6 times (Volume to the 2/3 power)


If the surface area of a cube is 150 what is the volume of the cube?

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!


Find the surface area of a cube that has a volume of 27 cubic inches?

SA = 54 square inches.