Problem: An aquarium on a level table has rectangular faces and is 10 inches wide and 8 inches high. When it was tilted, the water in it just covered an 8′′×10′′ end but only three-fourths of the rectangular bottom. The depth of the water when the bottom was again made level was
Answer Choices:
A. 221​′′
B. 3′′
C. 341​′′
D. 321​′′
E. 4′′
Solution:
Let u and h be the length of the bottom and depth of water when the bottom is level. Then the volume V of the water is V=10hu=10⋅21​⋅8⋅43​u,h=3′′.