W and X are two rectangular containers. The base area of W is 90 cm
2 while that of X is 36 cm
2 . At first, W contained water to a height of 42 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- Liam then poured some water from W to X. After that, the height of the water level in W was twice that in X. What was the new height of the water level in W?
(a)
Volume of water in W
= 90 x 42
= 3780 cm
3 (b)
Total base areas
= 90 + 90 + 36
= 216 cm
2 Height of water if the total base area is 216 cm
2 = 3780 ÷ 216
= 17.5 cm
New height of the water level in W
= 17.5 x 2
= 35 cm
Answer(s): (a) 3780 cm
3; (b) 35 cm