W and X are two rectangular tanks. The base area of W is 96 cm
2 while that of X is 32 cm
2 . At first, W contained water to a height of 56 cm and X was empty, as shown.
- What was the volume of the water in W at first?
- Warren 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
= 96 x 56
= 5376 cm
3 (b)
Total base areas
= 96 + 96 + 32
= 224 cm
2 Height of water if the total base area is 224 cm
2 = 5376 ÷ 224
= 24 cm
New height of the water level in W
= 24 x 2
= 48 cm
Answer(s): (a) 5376 cm
3; (b) 48 cm