T and U are two rectangular tanks. The base area of T is 70 cm
2 while that of U is 30 cm
2 . At first, T contained water to a height of 42 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Paul 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
= 70 x 42
= 2940 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 2940 ÷ 240
= 12.25 cm
New height of the water level in T
= 12.25 x 3
= 36.75 cm
Answer(s): (a) 2940 cm
3; (b) 36.75 cm