Asked by Anonymous
An open box has a maximum capacity of 80 cubic centimeters. It is made from
a square piece of carton with 2-centimeter squares cut out from each of its four
corners. Find the dimensions of the original piece of carton.
a square piece of carton with 2-centimeter squares cut out from each of its four
corners. Find the dimensions of the original piece of carton.
Answers
Answered by
mathhelper
original piece ---- x cm by x cm
sides of base of box --- (x - 4) cm each
volume of box = 2(x-4)^2
2(x-4)^2 = 80
(x-4)^2 = 40
x - 4 = √40
x = √40 + 4 = appr 10.3 cm
check:
side of base = 10.3 - 4 = 6.3
volume = 2(6.3)^2 = 79.38, slightly off due to round off of √40 + 4
sides of base of box --- (x - 4) cm each
volume of box = 2(x-4)^2
2(x-4)^2 = 80
(x-4)^2 = 40
x - 4 = √40
x = √40 + 4 = appr 10.3 cm
check:
side of base = 10.3 - 4 = 6.3
volume = 2(6.3)^2 = 79.38, slightly off due to round off of √40 + 4
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.