W and X are two rectangular tanks. The base area of W is 84 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?
- Nick then poured some water from W to X. After that, the height of the water level in W was thrice that in X. What was the new height of the water level in W?
(a)
Volume of water in W
= 84 x 42
= 3528 cm
3 (b)
Total base areas
= 84 x 3 + 36
= 288 cm
2 Height of water if the total base area is 288 cm
2 = 3528 ÷ 288
= 12.25 cm
New height of the water level in W
= 12.25 x 3
= 36.75 cm
Answer(s): (a) 3528 cm
3; (b) 36.75 cm