Y and Z are two rectangular tanks. The base area of Y is 88 cm
2 while that of Z is 44 cm
2 . At first, Y contained water to a height of 42 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Ivan then poured some water from Y to Z. After that, the height of the water level in Y was thrice that in Z. What was the new height of the water level in Y?
(a)
Volume of water in Y
= 88 x 42
= 3696 cm
3 (b)
Total base areas
= 88 x 3 + 44
= 308 cm
2 Height of water if the total base area is 308 cm
2 = 3696 ÷ 308
= 12 cm
New height of the water level in Y
= 12 x 3
= 36 cm
Answer(s): (a) 3696 cm
3; (b) 36 cm