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 8β²β²Γ10β²β² 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. 221ββ²β²
B. 3β²β²
C. 341ββ²β²
D. 321ββ²β²
E. 4β²β²
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=10β
21ββ
8β
43βu,h=3β²β².