W and X are two rectangular tanks. The base area of W is 72 cm
2 while that of X is 36 cm
2 . At first, W contained water to a height of 30 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- John 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
= 72 x 30
= 2160 cm
3 (b)
Total base areas
= 72 + 72 + 36
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 2160 ÷ 180
= 12 cm
New height of the water level in W
= 12 x 2
= 24 cm
Answer(s): (a) 2160 cm
3; (b) 24 cm