Y and Z are two rectangular tanks. The base area of Y is 92 cm
2 while that of Z is 32 cm
2 . At first, Y contained water to a height of 54 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- George then poured some water from Y to Z. After that, the height of the water level in Y was twice that in Z. What was the new height of the water level in Y?
(a)
Volume of water in Y
= 92 x 54
= 4968 cm
3 (b)
Total base areas
= 92 + 92 + 32
= 216 cm
2 Height of water if the total base area is 216 cm
2 = 4968 ÷ 216
= 23 cm
New height of the water level in Y
= 23 x 2
= 46 cm
Answer(s): (a) 4968 cm
3; (b) 46 cm