S and T are two rectangular containers. The base area of S is 73 cm
2 while that of T is 31 cm
2 . At first, S contained water to a height of 51 cm and T was empty, as shown.
- What was the volume of the water in S at first?
- Ivan 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
= 73 x 51
= 3723 cm
3 (b)
Total base areas
= 73 x 3 + 31
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3723 ÷ 250
= 14.892 cm
New height of the water level in S
= 14.892 x 3
= 44.676 cm
Answer(s): (a) 3723 cm
3; (b) 44.676 cm