Since you cut x inches in each corner the volume of the box will be:
x ( 30 - 2x )( 20 - 2x ) = 1000
Multiplying and simplifying we get:
4x^3 - 100x^2 + 600x - 1000 = 0 ............ Divide by 4
x^3 - 25x^2 + 150x - 250 = 0
We use synthetic division:
........ 1 ...... - 25 ..... 150 ...... - 250
5 ..... 1 ...... ...5......- 100 ........ 250
..................-------- .---------- .... -------
................... 20 ........50 ........ 0 ....... OK
Therefore the dimension of the box are :
30 - 2 (5) = 20
20 - 2 (5) = 10
..............= 5
The dimensions are 20 in by 10 in by 5 in.......... THE END
Check 20 x 10 x 5 = 1000 OK
................
(30 - 2x)(20 - 2x)(x) = 1000
already answered
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Since you cut x inches in each corner the volume of the box will be:
x ( 30 - 2x )( 20 - 2x ) = 1000
Multiplying and simplifying we get:
4x^3 - 100x^2 + 600x - 1000 = 0 ............ Divide by 4
x^3 - 25x^2 + 150x - 250 = 0
We use synthetic division:
........ 1 ...... - 25 ..... 150 ...... - 250
5 ..... 1 ...... ...5......- 100 ........ 250
..................-------- .---------- .... -------
................... 20 ........50 ........ 0 ....... OK
Therefore the dimension of the box are :
30 - 2 (5) = 20
20 - 2 (5) = 10
..............= 5
The dimensions are 20 in by 10 in by 5 in.......... THE END
Check 20 x 10 x 5 = 1000 OK
................
(30 - 2x)(20 - 2x)(x) = 1000
already answered