Y and Z are two rectangular tanks. The base area of Y is 76 cm
2 while that of Z is 40 cm
2 . At first, Y contained water to a height of 60 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Paul then poured some water from Y to Z. After that, the height of the water level in Y was twice that in Z. What was the new height of the water level in Y?
(a)
Volume of water in Y
= 76 x 60
= 4560 cm
3 (b)
Total base areas
= 76 + 76 + 40
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 4560 ÷ 192
= 23.75 cm
New height of the water level in Y
= 23.75 x 2
= 47.5 cm
Answer(s): (a) 4560 cm
3; (b) 47.5 cm