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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
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 of a cube with a side length w?
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 .
Whats the area of a cube?
The volume of any cube is (length of one side)3The surface area is (length of one side)2 x 6 [since a cube has six sides]
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)
What is the formula for surface area and volume of a cube?
Surface Area of Cube is 6 x a^2 where a is the length of one side of cube. Volume of Cube is a^3 where a is the length of one side of cube.
What is Surface area and volume of cube formula?
For a cube with sides of length x, surface area = 6x2 and volume = x3.
A cube has a volume of 729cm3 what is the length and surface area?
Length = 9cm and total surface area is 486cm2
What it's the for surface area to volume ratio of a cube?
The surface area to volume ratio of a cube is calculated by dividing its surface area by its volume. For a cube with side length ( s ), the surface area is ( 6s^2 ) and the volume is ( s^3 ). Thus, the surface area to volume ratio is ( \frac{6s^2}{s^3} = \frac{6}{s} ). This means that as the side length of the cube increases, the surface area to volume ratio decreases.
What is the relationship between cube size and surface area-to-volume ratio?
The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.
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
If the length side of a cube is increased the surface areea to volume ratio of the cube?
When the side length of a cube is increased, the surface area increases at a different rate compared to the volume. The surface area of a cube is given by (6a^2) and the volume by (a^3), where (a) is the length of a side. As the side length increases, the surface area-to-volume ratio decreases, meaning that larger cubes have a lower ratio compared to smaller cubes. This reflects that while more surface area is created, the volume increases even more significantly.
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 total surface area of a cube is 294 sq m What is the volume of this cube?
A cube with area 294cm2 has a volume of 343cm3 A cube with edge length 17.1cm has a volume of about 5000.21cm3
How do you calculate surface area volume of a cube?
If a cube has sides of length x cm then area = 6x2 cm2 and volume = x3 cm3
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.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
