Y and Z are two rectangular tanks. The base area of Y is 78 cm
2 while that of Z is 36 cm
2 . At first, Y contained water to a height of 36 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Daniel then poured some water from Y to Z. After that, the height of the water level in Y was thrice that in Z. What was the new height of the water level in Y?
(a)
Volume of water in Y
= 78 x 36
= 2808 cm
3 (b)
Total base areas
= 78 x 3 + 36
= 270 cm
2 Height of water if the total base area is 270 cm
2 = 2808 ÷ 270
= 10.4 cm
New height of the water level in Y
= 10.4 x 3
= 31.2 cm
Answer(s): (a) 2808 cm
3; (b) 31.2 cm