X and Y are two rectangular containers. The base area of X is 73 cm
2 while that of Y is 36 cm
2 . At first, X contained water to a height of 51 cm and Y was empty, as shown.
- What was the volume of the water in X at first?
- Neave 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
= 73 x 51
= 3723 cm
3 (b)
Total base areas
= 73 x 3 + 36
= 255 cm
2 Height of water if the total base area is 255 cm
2 = 3723 ÷ 255
= 14.6 cm
New height of the water level in X
= 14.6 x 3
= 43.8 cm
Answer(s): (a) 3723 cm
3; (b) 43.8 cm