1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
White raven [17]
3 years ago
14

A square piece of tin has 12 inches on a side. An open box is formed by cutting out equal square pieces at the corners and bendi

ng upward the projecting portion which remain. Find the maximum volume that can be obtained.
Physics
1 answer:
Citrus2011 [14]3 years ago
6 0

Answer:

Explanation:

Given a square Piece whose side is 12 inches

Now square pieces are cut from each corner to make it a open box

Suppose x is the length of square piece at each corner

then

base square has a length of 12-2x

Dimension of new box is (12-2x)\times (12-2x)\times x

Volume V=(12-2x)\times (12-2x)\times x

V=\left ( 12-2x\right )^2\cdot x

For maximum volume differentiate with respect to x we get

\Rightarrow\frac{\mathrm{d} V}{\mathrm{d} x}=2\times \left ( 12-2x\right )\times \left ( -2\right )\cdot x+\left ( 12-2x\right )^2=0

we get x=6 and 4 but at x=6 volume becomes zero therefore x=4 is valid

V=\left ( 12-2\cdot 4\right )^2\cdot 4

V=4^3

V=64\ in.^3

You might be interested in
How much time does it take a rhino running at 40 m/s to run 250 m?​
lions [1.4K]

Answer:

Rhinoceroses are odd-toed ungulates native to sub-Saharan Africa and southern Asia, though all five living species have hugely contracted in range and number due to the influence of humans. Despite their titanic, tank-like bulk, rhinos can be amazingly swift: The fastest may reach at least 50 kilometers per hour (31 mph).

Explanation:

sana makatulong

8 0
3 years ago
How does the color of water affect its evaporation rate
olga_2 [115]
Well my thinking is that the lighter the slower the water evaporates or the darker the faster becuase dark colors absorb light and allows a lot of heat to be generated or not at all.

8 0
3 years ago
What number is between 2000 and 2500
Kitty [74]
If its just a number 2,300 is an answer 
6 0
4 years ago
Suppose that a white dwarf is gaining mass through accretion in a binary system. what happens if the mass someday reaches the 1.
Soloha48 [4]
It would blow up turning into a supernova.
7 0
3 years ago
Read 2 more answers
The energy transported by a mechanical wave is indicated by which property of the wave?
Ksenya-84 [330]
Your answer would be Amplitude :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Why is charge usually transferred by electrons rather than by protons?
    6·1 answer
  • How does the change in the sa/v ratio compare with the change in distance from the center of the cell to the nearest face?
    6·1 answer
  • Is it possible for a baseball to have as large a momentum as a much more massive bowling ball
    13·1 answer
  • Which statement describes a scientific theory?
    8·2 answers
  • A man stands on a platform that is rotating at 3.8 rpm; his arms are outstretched and he holds a brick in each hand. The rotatio
    6·2 answers
  • A snail can move approximately 0.30 meters per minute. How many meters can the snail cover in
    14·2 answers
  • Please help me find the last one ASAP! Thanks :))) (You don't have to send the definition)
    15·1 answer
  • If an oxygen molecule traveling at the rms speed bounces back and forth between opposite sides of a cubical vessel of 0.10 m on
    15·1 answer
  • What is the amount of work done in a certain amount of time known as?
    11·1 answer
  • Tyrell is holding a cup of hot cholate in his hands which cause his hand to feel
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!