Y and Z are two rectangular containers. The base area of Y is 90 cm
2 while that of Z is 30 cm
2 . At first, Y contained water to a height of 32 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Lee 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
= 90 x 32
= 2880 cm
3 (b)
Total base areas
= 90 x 3 + 30
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 2880 ÷ 300
= 9.6 cm
New height of the water level in Y
= 9.6 x 3
= 28.8 cm
Answer(s): (a) 2880 cm
3; (b) 28.8 cm