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Suppose the cube has edges of length x.

Then the area of each face (side) is x2. There are six faces so the total surface area is 6x2. The volume of the cube is x3.

So 6x2 = x3

DIviding both sides by x2 gives x = 6.

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Q: What size cube has a surface area equal in number to its volume?
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Related questions

What surface area equal to its volume?

No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.


Is the surface area of a rectangular prism unsquared equal to the volume of that prism?

A surface area and a volume are qualitatively different. If for some body the surface area and the volume are numerically equal in one unit of measurement, then in another unit of measurement they won't be the same. For example, a cube of 6 m x 6 m x 6 m cube has a a volume of 216 cubic meters, and an area of 216 square meters, but if you calculate volume and surface area in cubic centimeters, the volume is a number that is 100 times greater.


How does the surface area to volume ratio change as the cell size increases?

It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.


How can you obtain a cell's ratio of surface volume?

If a cell has a length of 1 cm, its surface area would be equal to length X width X number of sides, or 1 cm X 1 cm X 6= 6 cm squared (2). The volume of the cell would be equal to length X width X number of sides or 1 cm X 1 cm X 1 cm = 1 cm to the 3rd power. To obtain the ratio of surface area to volume, divide the surface area by the volume. In this case, the ratio of surface area to volume would be 6:1 or 6/1.


A sphere with a ratio of surface area to volume equal to 0.15m-1 a right circular cylinder with a ratio of surface area to volume equal to 2.2m-1?

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How can you obtain a cell's ratio of surface area to volume?

To obtain the ratio of surface area to volume, divide the surface area by the volume.


What is ratio of surface area to volume?

surface area/ volume. wider range of surface area to volume is better for cells.


How do you calculate the surface-area-to-volume-ratio?

The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.


Does the rate of reaction equal surface area over volume?

No. There is no one single expression for the rate of a chemical reaction. It depends on many factors. It is true, however, that the greater the surface area, the greater would be the rate of reaction, but it isn't EQUAL to SA/Volume.


What is the volume of a cube with surface area 54x2?

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What happens to a cells surface as a volume ratio as a cell gets bigger?

It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.


What happens to the surface area to volume ratio when you cut an orange in half?

Volume remains constant (as the two halves of the orange still equal one full volume). Surface area increases by the 2x the area of the circle created by the bisection of the orange.