A Single Cell of a Bee's Honey Comb Has the Shape

question 59

Short Answer

A single cell of a bee's honey comb has the shape shown.The surface area of this cell is given by $A=6 h s+\frac{3}{2} s^{2}\left(\frac{-\cos \theta}{\sin \theta}+\frac{\sqrt{3}}{\sin \theta}\right)$ where h, s, $\theta$ are as shown in the picture.Keeping h and s fixed, for what angle, $\theta$ , is the surface area minimal? Round to the nearest one tenth of a degree.

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Definitions:

Net Income

The net income of a company once all costs and taxes are subtracted from the total income.

Beginning Inventory

The estimated financial value of items ready to be sold at the onset of a ledger year.

Balance Sheet

A financial statement that provides a snapshot of a company's financial condition at a specific moment, showing assets, liabilities, and shareholders' equity.

Adjusted Trial Balance

A statement listing all accounts and their balances after adjustments, used to verify the equality of debits and credits before generating financial statements.