X and Y are two rectangular containers. The base area of X is 84 cm
2 while that of Y is 48 cm
2 . At first, X contained water to a height of 36 cm and Y was empty, as shown.
- What was the volume of the water in X at first?
- Valen then poured some water from X to Y. After that, the height of the water level in X was thrice that in Y. What was the new height of the water level in X?
(a)
Volume of water in X
= 84 x 36
= 3024 cm
3 (b)
Total base areas
= 84 x 3 + 48
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 3024 ÷ 300
= 10.08 cm
New height of the water level in X
= 10.08 x 3
= 30.24 cm
Answer(s): (a) 3024 cm
3; (b) 30.24 cm