N and P are two rectangular containers. The base area of N is 72 cm
2 while that of P is 36 cm
2 . At first, N contained water to a height of 60 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Rael 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
= 72 x 60
= 4320 cm
3 (b)
Total base areas
= 72 + 72 + 36
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 4320 ÷ 180
= 24 cm
New height of the water level in N
= 24 x 2
= 48 cm
Answer(s): (a) 4320 cm
3; (b) 48 cm