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
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.
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)
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.
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.
The formula for volume is side cubed, and the formula for a square's area is side squared, so you find the cube root of the volume and square your answer to find area.
Write a c program to compute the surface area and volume of a cube
Find the area of the base
The surface area of the cube is 150 square meters.
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
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.
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
cube root of volume gives side length, then square this to find area of one face.
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.
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.
None exist. A square is a measurement of area, length is a linear measurement and volume is a capacity. To find the lengths of a square from the area, take the square root of the area. To find the lengths of a cube from the volume, take the cube root of the volume. To clarify: Area refers to a two-dimensional space. Volume is three dimensional, and thus appropriate for a cube or ball, not a square or circle.
-- 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.