Calc Question: Find Side Length of Cut Squares for 1575 cm^3 Box

  • Thread starter Thread starter Kuja
  • Start date Start date
  • Tags Tags
    Calculus
Click For Summary

Homework Help Overview

The problem involves determining the side length of squares cut from the corners of a metal sheet to form an open box with a specified volume of 1575 cm³. The box must have a height of no more than 5 cm, and the dimensions of the metal sheet are 25 cm by 32 cm.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the interpretation of the problem, with one noting the equation derived from the dimensions and volume requirement. Others express confusion over the wording and seek clarification on the problem setup.

Discussion Status

The discussion includes attempts to clarify the problem's requirements and the mathematical relationships involved. Some participants have provided insights into their thought processes, while others are still grappling with the wording and implications of the problem.

Contextual Notes

There is mention of the challenge in solving word problems compared to straightforward algebraic ones, highlighting a potential area of difficulty for participants. The importance of careful reading and visualization of the problem is emphasized.

Kuja
Messages
9
Reaction score
0
I know this is simple, but I don't understand the English of this problem:

An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the corners of a sheet of metal 25 cm by 32 cm, and folding up the metal to form sides. The capacity of the box must be 1575 cm^3. What is the side length of the squares removed?

Anyone that cares to help or explain this problem will be welcome!
Thanks in advance! :smile:
 
Physics news on Phys.org
problem makes little sense.
 
Well I found the equation to be (32-2x)(25-2x)x=1575
where x = 3.5
But still, if anyone can explain this problem in a more simple format, then I can ensure myself won't be stuck in one of these word problems, it really took me too long to figure this out. Thanks in advance!
 
ok, makes sense now- you are cutting squares on the corner
edges of the sheet. Well, you solved the problem , what exactly
do you need help on? The problem is pretty simple once
we understand the instruction. A picture is worth a thousand
words...
 
Last edited:
I need help on solving word problems fast. I can solve an algebra mathematical problem like 10X faster than I can solve word problems. Any tips? :smile:
 
Well, the key thing is to understand the problem.
I screwed up on your question because I missed
the keyword "corners", reading too rapidly. I thought
the question asked one to cut the metal into 4
squares, lol.

So, read the problems slowly and draw a cartoon diagram
of it, making sure you clearly see what you are solving.
 
Last edited:

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
13K
  • · Replies 14 ·
Replies
14
Views
2K