Y and Z are two rectangular containers. The base area of Y is 88 cm
2 while that of Z is 36 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?
- Archie 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 + 36
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 3696 ÷ 300
= 12.32 cm
New height of the water level in Y
= 12.32 x 3
= 36.96 cm
Answer(s): (a) 3696 cm
3; (b) 36.96 cm