Asked by Broham
a box has a surface area of 184 sq in give the dimensions it could have for its length width and height hint find three areas that add up to 92 square inches
Answers
Answered by
Reiny
we know that 2lw + 2lh + 2wh = 184
or
their hint: lw + lh + wh = 92
there would be an infinite number of solutions,
e.g.
let w = 4, l = 8, then
4(8) + 8h + 4h = 92
12h = 60
h = 5
so length = 8, width = 4, and height = 5
check: 4*8 + 4*5 + 8*5 = 92
let w = 1, h = 6
l + 6l + 6 = 92
7l = 86
l = 86/7
so length = 86/7 , width = 1, height = 6
check: (86/7)(1) + (86/7)(6) + 6 = 92
etc
or
their hint: lw + lh + wh = 92
there would be an infinite number of solutions,
e.g.
let w = 4, l = 8, then
4(8) + 8h + 4h = 92
12h = 60
h = 5
so length = 8, width = 4, and height = 5
check: 4*8 + 4*5 + 8*5 = 92
let w = 1, h = 6
l + 6l + 6 = 92
7l = 86
l = 86/7
so length = 86/7 , width = 1, height = 6
check: (86/7)(1) + (86/7)(6) + 6 = 92
etc
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.