S and T are two rectangular tanks. The base area of S is 92 cm
2 while that of T is 46 cm
2 . At first, S contained water to a height of 36 cm and T was empty, as shown.
- What was the volume of the water in S at first?
- Owen then poured some water from S to T. After that, the height of the water level in S was twice that in T. What was the new height of the water level in S?
(a)
Volume of water in S
= 92 x 36
= 3312 cm
3 (b)
Total base areas
= 92 + 92 + 46
= 230 cm
2 Height of water if the total base area is 230 cm
2 = 3312 ÷ 230
= 14.4 cm
New height of the water level in S
= 14.4 x 2
= 28.8 cm
Answer(s): (a) 3312 cm
3; (b) 28.8 cm