X and Y are two rectangular containers. The base area of X is 94 cm
2 while that of Y is 47 cm
2 . At first, X contained water to a height of 41 cm and Y was empty, as shown.
- What was the volume of the water in X at first?
- Harry 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
= 94 x 41
= 3854 cm
3 (b)
Total base areas
= 94 + 94 + 47
= 235 cm
2 Height of water if the total base area is 235 cm
2 = 3854 ÷ 235
= 16.4 cm
New height of the water level in X
= 16.4 x 2
= 32.8 cm
Answer(s): (a) 3854 cm
3; (b) 32.8 cm