Umberto Eco: Aah, now that is more difficult to explain. I have some philosophical interests and I pursue them through my academic work and my novels. Even my books for children are about non-violence and peace ... you see, the same bunch of ethical, philosophical interests. And then I have a secret. Did you know what will happen if you eliminate the empty spaces from the universe, eliminate the empty spaces in all the atoms? The universe will become as big as my fist. Similarly, we have a lot of empty spaces in our lives. I call them interstices. Say you are coming over to my place. You are in an elevator and while you are coming up, I am waiting for you. This is an interstice, an empty space. I work in empty spaces.
(The Interview)
Umberto Eco : Aah, now that is more difficult to explain. I have some philosophical interests and I pursue them through my academic work and my novels. Even my books for children are about non-violence and peace...you see, the same bunch of ethical, philosophical interests.
And then I have a secret. Did you know what will happen if you eliminate the empty spaces from the universe, eliminate the empty spaces in all the atoms ? The universe will become as big as my fist.
(The Interview)
Rishika and Shivika were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2024 stood as follows:
Balance Sheet of Rishika and Shivika as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Equipment | 45,00,000 | |
| Rishika – ₹30,00,000 Shivika – ₹20,00,000 | 50,00,000 | Investments | 5,00,000 |
| Shivika’s Husband’s Loan | 5,00,000 | Debtors | 35,00,000 |
| Creditors | 40,00,000 | Stock | 8,00,000 |
| Cash at Bank | 2,00,000 | ||
| Total | 95,00,000 | Total | 95,00,000 |
The firm was dissolved on the above date and the following transactions took place:
(i) Equipements were given to creditors in full settlement of their account.
(ii) Investments were sold at a profit of 20% on its book value.
(iii) Full amount was collected from debtors.
(iv) Stock was taken over by Rishika at 50% discount.
(v) Actual expenses of realisation amounted to ₹ 2,00,000 which were paid by the firm. Prepare Realisation Account.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
