An aquarium holding african cichlids is 5 inches higher then it is wide. it's length is 33 inches,and its volume is 4950 cubic inches what are the height and width of the aquarium?

V=lbh.

length l=33 in.

height h=b+5.

By substituing in equation for volume

33*b*(b+5)=4950.

b(b+5)=150.

b^2+5b-150=0.

By factorisation

(b-10)(b+15)=0.

b=10,-15.

take b=10 in.

width b =10  in,

Height h=b+5 =10+5 =15 in.