Problema Solution
miko wants to build a toy box for his sister. It has to be 2 feet high, and the width is to be 3 feet less than its length. If it needs to hold a volume of 80 cubic feet, find the length and width of the box
Answer provided by our tutors
let
l = the length of the box
w = the width of the box
h = 2 ft the height of the box
the width is to be 3 feet less than its length
w = l - 3
it needs to hold a volume of 80 cubic feet
l*w*h = 80
2l*w = 80
plug w = l - 3 into the last equation
2l(l - 3) = 80
we find and consider the positive roots
l = 8 ft
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w = 8 - 3
w = 5 ft
the length of the box is 8 ft.
the width of the box is 5 ft.