W and X are two rectangular tanks. The base area of W is 77 cm
2 while that of X is 44 cm
2 . At first, W contained water to a height of 57 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- Oliver 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
= 77 x 57
= 4389 cm
3 (b)
Total base areas
= 77 x 3 + 44
= 275 cm
2 Height of water if the total base area is 275 cm
2 = 4389 ÷ 275
= 15.96 cm
New height of the water level in W
= 15.96 x 3
= 47.88 cm
Answer(s): (a) 4389 cm
3; (b) 47.88 cm