A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
1 answer:
Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = inches
As given, 4 inch squares are cut from each corner;
So, the width is = inches
Length is = inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So,
=>
=>
=>
or
=>
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We get , ; w = -8(neglect the negative value)
; w = 12 inches
And length = inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
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This is one of those questions that you might think is silly until you try it for yourself or you read about it.
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