A Cardboard Box Without a Lid Is to Have Volume $5 / 2$

question 4

Multiple Choice

A cardboard box without a lid is to have volume 100 cubic inches, with total area of cardboard as small as possible. Find its height in inches.

• A)2
• B) \(5 / 2\)
• C)4
• D)5
• E) \(25 ^ { 1 / 3 }\)
• F) \(25 ^ { 2 / 3 }\)
• G) \(200 ^ { 1 / 3 }\)
• H) \(200 ^ { 2 / 3 }\)

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Definitions:

Supply

The total amount of a specific good or service that is available to consumers at a given price level and over a specific period.

Positive Externalities

Benefits received by third parties who are not directly involved in a transaction or activity, leading to potentially under-produced goods or services in a free market.

Market Equilibrium

The state in which market supply and demand balance each other, resulting in stable prices.

Social Value

The importance or worth of something in terms of its contribution to society or the community.