Problema Solution
an aquarium holding african cichlids is 4 inches higher than it is wide. its length is 27 inches, and its volume is 8640 cubic inches. what are the height and width of the aquarium
Answer provided by our tutors
Let
x = the width of the aquarium, x>0
x + 4 = the height of the aquarium
length = 27 in
V = 8640 in^2
Since the volume V = width*height*length we have
V = x(x + 4)*27
thus we have:
x(x + 4)*27 = 8640
........
........
x = 16 in
x + 4 = 16 + 4 = 20 in
The height is 20 inches.
The width is 16 inches.