Question

evaluate the hypothesis that cells shaped like rectangular solids 1 and 2 are better suited for slow metabolism and the long‑term storage of energy‑containing molecules than are cells shaped like rectangular solids 4 and 5.

Answer 1

The question is incomplete. The complete question is:

Students were using the formulas for the surface area and volume of  a rectangular solid to model cells of different sizes and shapes. They produced the data shown in the table.

Rectangular Solid:

Length (cm ) , Height (cm ),  Width (cm ),  Surface Area (cm  ),  Volume (cm  ),  Surface Area-to-Volume Ratio  

1 ) 2.00   1.00  1.00    10.00    2.00    5.00

2 ) 2.67   0.50   1.50    12.18   2.00    6.08

3 ) 4.00    0.25   2.00   19.00    2.00    9.50

4 ) 6.05   0.13   2.65     34.24.  2.00   17.09

5 ) 10.68   0.06   3.00    65.79   2.00     32.85

Using the data from the model, evaluate the hypothesis that cells shaped like rectangular solids 1 and 2 are better suited for slow metabolism and the long‑term storage of energy‑containing molecules than are cells shaped like rectangular solids 4 and 5.

Answer:

A cell's surface area to volume ratio limits the cell size. It is proven that cell with smaller size are more effective and long term sotrage of enetgy in comparision to large cells.

Cells shaped 1 and 2 has smaller surface area to volume ratio that support long‑term storage of energy and better in slow metabolism than that of rectangular solids 4 and 5.

Hence, because of smaller surface area  to volume ratio 1 and 2 cells has better functions.