S and T are two rectangular containers. The base area of S is 71 cm
2 while that of T is 37 cm
2 . At first, S contained water to a height of 47 cm and T was empty, as shown.
- What was the volume of the water in S at first?
- Sean 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
= 71 x 47
= 3337 cm
3 (b)
Total base areas
= 71 x 3 + 37
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3337 ÷ 250
= 13.348 cm
New height of the water level in S
= 13.348 x 3
= 40.044 cm
Answer(s): (a) 3337 cm
3; (b) 40.044 cm