S and T are two rectangular containers. The base area of S is 72 cm
2 while that of T is 44 cm
2 . At first, S contained water to a height of 52 cm and T was empty, as shown.
- What was the volume of the water in S at first?
- Ethan then poured some water from S to T. After that, the height of the water level in S was thrice that in T. What was the new height of the water level in S?
(a)
Volume of water in S
= 72 x 52
= 3744 cm
3 (b)
Total base areas
= 72 x 3 + 44
= 260 cm
2 Height of water if the total base area is 260 cm
2 = 3744 ÷ 260
= 14.4 cm
New height of the water level in S
= 14.4 x 3
= 43.2 cm
Answer(s): (a) 3744 cm
3; (b) 43.2 cm