Question

If the surface area of a cell that is shaped like a cube increases 100 times, its volume increases about (1 point).

Answer 1

2 questions 1) A cube has 6 faces The area of a side is l^2 Area of a cube = 6*area of one side = 6*l^2 The volumen of a cube is l^3 If the area increases 100 times, that means A2/A1 = 100 100 = (6L2^2)/(6L1^2) 100 = L2^2/L1^2 100L1^2 = L2^2 square root (100L1^2) = L2 L2 = square root (100)*square root (L1^2) L2 = 10* L1 New volume = L2^3 = (10L1)^3 = 10^3*L1^3 = 1000L1^3 = 1000*Old volumen Answer: 1000 times
 
2) d. There is a lot of distance from the cell membrane to the center of the cell, so it takes a lot of time and energy to bring outer products to the center of the cell and also to bring something that is in the center of the cell to the surface of the cell. That makes more difficult to bring materials in and out. So this cell will have trouble getting nutrients from the environment and making waste products get out of the cell.

Answer 2

1. Answer;

1000 times

If the surface area of a cell that is shaped like a cube increases 100 times, its volume increases about 1000 times.

Explanation;

If the surface are increases 100 times it means that the side of a cube has increased by a scale factor of 10, therefore, the volume of the cube will increase about 1000 times ( 10 × 10 × 10 = 1000).

2. Answer;

Moving needed materials in and waste products out.

Explanation;

Large cells have more trouble moving materials that are needed in the cell and wastes products out of the cell, as compared to small cells.

The volume of large cells is so large, the surface area, by comparison, is relatively small, thus large cells have a small surface are to volume ratio, compared to small cells which have a large surface area to volume ratio, which makes the transportation of substances into and out of the cells extremely efficient compared to large cell.