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How do you find the length of a cubes side if i only have the surface volume ration?
Lets assume the length of the cube edge is x.
Lets assume the surface area to volume ratio is y.
Now, the surface area of a single face of the cube (being a square) is x^2.
The total surface area of the cube is 6x^2 (because there are six faces).
Now, the volume of the cube is x^3.
The ratio of surface area to volume (y) can be written as:
y = 6x^2 / x^3
We need to reduce the equation and re-arrange it so that the equation gives the value of x rather than y. Lets simplify the right hand side by removing two "x"s from the top and the bottom. That gives:
y = 6 / x
Now we multiply both the left hand side and the right hand side by "x" to get:
xy = 6
Finally we divide both the left hand side and the right hand side by "y" to get:
x = 6/y
Just to be sure we can test the equation with a couple of examples:
1. A cube with length 1 has a volume of 1 and an area of 6. So the ratio would be 1/6. Putting this into the equation as y gets us back the value of x.
2. A cube with length 2 has a volume of 8 and an area of 24. So the ratio would be 3. Putting 3 into the equation for the value of y we again get the right value of x, 2.
What else can I help you with?
What are the total volume and surface area of the small cubes?
The volume of a cube is the length of the side, cubed.The area of a cube is 6 times (the length of a side squared).
How do you figure out the volume of cubes?
You multiply the length by the width by the height to get the volume.
How Do You determined The volume Of The cubes?
You multiply the height, length, and width of the cube and the answer is the volume.
What is the volume of a pool that is 5 cubes long 3 cubes wide and 2 cubes deep?
Volume is equal to Length x Width x Height. 5x3x2=30 cubes
What is surface area of 2 cubes?
Surface area of two cubes = 6 times [ (length of first cube's edge)2 + (length of second cube's edge)2 ]
What are the total volume and surface area of the small cubes?
The volume of a cube is the length of the side, cubed.The area of a cube is 6 times (the length of a side squared).
Which cubes have the same volume and surface area?
A cube with an edge length of 6 units has a 216 square unit surface area and a 216 cubic unit volume.
What cubes have the same volume and surface area?
Congruent ones. A cube of side x has a volume of x3. Any other cube, of volume x3 must have sides of length x and so the two cubes must be congruent.
Describe what happens to the surface area to volume ratio for larger and larger cubes?
For a cube with edge length, L. Surface area = 6L2. Volume = L3. So ratio of Surface Area / Volume = 6 / L. Therefore, as the side length, L, increases, the ratio will decrease.
How do you figure out the volume of cubes?
You multiply the length by the width by the height to get the volume.
How Do You determined The volume Of The cubes?
You multiply the height, length, and width of the cube and the answer is the volume.
What is the volume of a pool that is 5 cubes long 3 cubes wide and 2 cubes deep?
Volume is equal to Length x Width x Height. 5x3x2=30 cubes
Do cubes have the same volume and surface area?
Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.
What is surface area of 2 cubes?
Surface area of two cubes = 6 times [ (length of first cube's edge)2 + (length of second cube's edge)2 ]
Is it possible for 2 cubes to have the same volume and the same surface area?
Yes they would have to be similar cubes.
How do you determin the volume of a cube?
A cubes volume is equal to the length of it's side^3. So if the side has length 2, the volume is 2*2*2 = 8.
The length of an edge of a cube is 5ft What is the total volume of two cubes of the same size?
The total volume of two cubes of the same size is: 250 cubic feet.
