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

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SUMMARY

The discussion centers on solving a word problem involving the construction of an open box from a metal sheet measuring 25 cm by 32 cm, with a required volume of 1575 cm³. The equation derived to find the side length of the squares cut from the corners is (32-2x)(25-2x)x=1575, where x equals 3.5 cm. Participants emphasize the importance of carefully reading the problem and visualizing it through diagrams to enhance understanding and speed in solving similar word problems.

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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:
 
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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:

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