Y and Z are two rectangular tanks. The base area of Y is 98 cm
2 while that of Z is 49 cm
2 . At first, Y contained water to a height of 49 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Japheth 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
= 98 x 49
= 4802 cm
3 (b)
Total base areas
= 98 + 98 + 49
= 245 cm
2 Height of water if the total base area is 245 cm
2 = 4802 ÷ 245
= 19.6 cm
New height of the water level in Y
= 19.6 x 2
= 39.2 cm
Answer(s): (a) 4802 cm
3; (b) 39.2 cm