N and P are two rectangular tanks. The base area of N is 81 cm
2 while that of P is 50 cm
2 . At first, N contained water to a height of 53 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Flynn then poured some water from N to P. After that, the height of the water level in N was twice that in P. What was the new height of the water level in N?
(a)
Volume of water in N
= 81 x 53
= 4293 cm
3 (b)
Total base areas
= 81 + 81 + 50
= 212 cm
2 Height of water if the total base area is 212 cm
2 = 4293 ÷ 212
= 20.25 cm
New height of the water level in N
= 20.25 x 2
= 40.5 cm
Answer(s): (a) 4293 cm
3; (b) 40.5 cm