T and U are two rectangular tanks. The base area of T is 70 cm
2 while that of U is 35 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?
- Sam then poured some water from T to U. After that, the height of the water level in T was twice that in U. What was the new height of the water level in T?
(a)
Volume of water in T
= 70 x 60
= 4200 cm
3 (b)
Total base areas
= 70 + 70 + 35
= 175 cm
2 Height of water if the total base area is 175 cm
2 = 4200 ÷ 175
= 24 cm
New height of the water level in T
= 24 x 2
= 48 cm
Answer(s): (a) 4200 cm
3; (b) 48 cm