W and X are two rectangular containers. The base area of W is 74 cm
2 while that of X is 37 cm
2 . At first, W contained water to a height of 44 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- Luis 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
= 74 x 44
= 3256 cm
3 (b)
Total base areas
= 74 + 74 + 37
= 185 cm
2 Height of water if the total base area is 185 cm
2 = 3256 ÷ 185
= 17.6 cm
New height of the water level in W
= 17.6 x 2
= 35.2 cm
Answer(s): (a) 3256 cm
3; (b) 35.2 cm