The Length $l$ , Width $w$ And Height $h$ Of a Box Change with Time

question 20

Short Answer

The length $l$ , width $w$ and height $h$ of a box change with time. At a certain instant the dimensions are $l = 3$ and $w = h = 4$ , and $l$ and $w$ are increasing at a rate of $10 \mathrm {~m} / \mathrm { s }$ while $h$ is decreasing at a rate of 1 $\mathrm { m } / \mathrm { s }$ . At that instant find the rates at which the surface area is changing.

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Definitions:

Societal Harm

Negative impacts on society or segments of it, caused by actions or policies that lead to inequality, injustice, or environmental damage.

Social Diversions

Activities or entertainments that are pursued for pleasure and tend to draw people away from more serious social issues or engagements.

Amusement

A broad term referring to the activities, events, or experiences designed to provide enjoyment or entertainment to individuals or groups.

Tsar Peter the Great

A Russian emperor of the late 17th and early 18th centuries, known for extensive reforms in an attempt to establish Russia as a great nation.