T and U are two rectangular tanks. The base area of T is 72 cm
2 while that of U is 40 cm
2 . At first, T contained water to a height of 60 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Flynn 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
= 72 x 60
= 4320 cm
3 (b)
Total base areas
= 72 x 3 + 40
= 256 cm
2 Height of water if the total base area is 256 cm
2 = 4320 ÷ 256
= 16.875 cm
New height of the water level in T
= 16.875 x 3
= 50.625 cm
Answer(s): (a) 4320 cm
3; (b) 50.625 cm