## How is the ratio of volume to surface area in a cell’s potential growth?

How does a cell’s potential for growth affect its ratio of volume to surface area? As a cell grows in size, its ratio of volume to surface area decreases. A cell that grows too big will be unable to absorb all the materials it needs and eliminate all its wastes. These issues limit the cell’s growth.

**What is the relationship between size and surface area to volume ratio of a cube? **

Dimension. SA:V is an inverse function of the size for a given shape. A cube with a 2 cm side length has a ratio 3 cm-1. This is half the ratio for a cube with a 1 cm side. To preserve SA:V as the cube grows in size, you need to change to a smaller shape.

**Why is a high surface area to volume ratio important? **

The important thing to remember is that the ratio of surface area to volume gets smaller with increasing cell size. If the cell grows beyond a certain point, there will not be enough material to cross the membrane fast enough for the increased volume. This is why cells are small.

### What shape has the highest surface area to volume ratio?

Answer. A cube’s surface area to volume ratio is 6:1 (6:1). The icosahedron is the Platonic solid (solids that have identical faces) with the lowest surface area to volume ratio.

**Which shape holds the most volume? **

sphere

**Why does a circle have more area than a square? **

Since 1/(4p)> (1/16), the circle has more area than the square. This is because the area of the circle is smaller than the area of the octagon. It is more difficult to solve an ellipse.

#### What shape has the most area?

circle

**What is the greatest area of a rectangle? **

Approach : In order for a rectangle to have the maximum area, it is essential that there be a minimum difference in length and breadth. In such cases, the length of a rectangle must equal ceil (perimeter/4) and the breadth should be floor (perimeter/4) The maximum area of a rectangle having a given perimeter is ceil (perimeter/4) floor (perimeter/4).

**What is the maximum area of a triangle? **

The area of a triangle is maximum when one of the three angles is 90deg because then the height is maximum, otherwise it is maximum when all the three sides are equal or the triangle is equilateral triangle.

## What should the area of a triangle be?

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Exemple: Find the area for the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

**What is the largest possible area for a right triangle whose hypotenuse is 5 cm long? **

Its area is 3*4/2=6 cm. An isosceles RAT with its hypotenuse=5 cm will have the other two sides equal to 5 cos 45. And its area will be [5 cos 45}^2/2=6. 25 sq cm.