T and U are two rectangular tanks. The base area of T is 82 cm
2 while that of U is 42 cm
2 . At first, T contained water to a height of 54 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Ethan then poured some water from T to U. After that, the height of the water level in T was thrice that in U. What was the new height of the water level in T?
(a)
Volume of water in T
= 82 x 54
= 4428 cm
3 (b)
Total base areas
= 82 x 3 + 42
= 288 cm
2 Height of water if the total base area is 288 cm
2 = 4428 ÷ 288
= 15.375 cm
New height of the water level in T
= 15.375 x 3
= 46.125 cm
Answer(s): (a) 4428 cm
3; (b) 46.125 cm