four equal squares of size X has been cut from the four corners of a rectangular paper 25 cm by 20 cm and remaining portion is folded into a box. If the volume of box 672 cm^3 . Find X
Answers
x = 2 cm or x = 5.66 cm if four equal squares of size X has been cut from the four corners of a rectangular paper 25 cm by 20 cm and volume of box = 672 cm³
Step-by-step explanation:
Assuming that Box is open
Size of Box = 25 - 2x , 20 - 2x , x
Volume of Box = (25 - 2x)(20 - 2x)x
= ( 500 + 4x² - 50x - 40x)x
= (4x² - 90x + 500)x
= 4x³ - 90x² + 500x
4x³ - 90x² + 500x = 672
=> 4x³ - 90x² + 500x - 672 = 0
=> (x - 2)(4x² -82x + 336) = 0
=> (x - 2)(2x² - 41x + 168) = 0
=> x = 2 or x = (41 ± √337 )/4
=> x = 2 or x = 14.839 or 5.66 ( 14.839 not possible)
x = 2 or x = 5.66
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Answer:
for equal square of size X has been cut from the four corners of rectangular paper 21 CM by 20 cm and remaining person is full into a box if the volume of box is 672 CC find x
step by step explanation
taking 25 - 2x 20 - 2x
answer is 2
x = 2