T and U are two rectangular containers. The base area of T is 99 cm
2 while that of U is 33 cm
2 . At first, T contained water to a height of 39 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Caden 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
= 99 x 39
= 3861 cm
3 (b)
Total base areas
= 99 x 3 + 33
= 330 cm
2 Height of water if the total base area is 330 cm
2 = 3861 ÷ 330
= 11.7 cm
New height of the water level in T
= 11.7 x 3
= 35.1 cm
Answer(s): (a) 3861 cm
3; (b) 35.1 cm