X and Y are two rectangular tanks. The base area of X is 76 cm
2 while that of Y is 48 cm
2 . At first, X contained water to a height of 60 cm and Y was empty, as shown.
- What was the volume of the water in X at first?
- Ethan then poured some water from X to Y. After that, the height of the water level in X was twice that in Y. What was the new height of the water level in X?
(a)
Volume of water in X
= 76 x 60
= 4560 cm
3 (b)
Total base areas
= 76 + 76 + 48
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 4560 ÷ 200
= 22.8 cm
New height of the water level in X
= 22.8 x 2
= 45.6 cm
Answer(s): (a) 4560 cm
3; (b) 45.6 cm