Problema Solution
Find the length and width of a box that can hold 192cm3 When the height is 4cm and the length is 2cm more than the width
Answer provided by our tutors
Let
l = the length of the box, l>0
w = the width of the box, w>0
h = 4 cm the height of the box
V = 192 cm^3 the volume of the box
The length is 2 cm more than the width:
l = w + 2
The volume of the box V = l*w*h thus we have
l*w*h = 192
plug h = 4 cm and l = w + 2 into the last equation:
(w + 2)*w*4 = 192
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w = 6 cm
l = 6 + 2
l = 8 cm
The length of the box is 8 cm.
The width of the box is 6 cm.