W and X are two rectangular tanks. The base area of W is 74 cm
2 while that of X is 50 cm
2 . At first, W contained water to a height of 34 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- Riordan 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
= 74 x 34
= 2516 cm
3 (b)
Total base areas
= 74 x 3 + 50
= 272 cm
2 Height of water if the total base area is 272 cm
2 = 2516 ÷ 272
= 9.25 cm
New height of the water level in W
= 9.25 x 3
= 27.75 cm
Answer(s): (a) 2516 cm
3; (b) 27.75 cm