N and P are two rectangular tanks. 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 40 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Elijah 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 40
= 2880 cm
3 (b)
Total base areas
= 72 + 72 + 36
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 2880 ÷ 180
= 16 cm
New height of the water level in N
= 16 x 2
= 32 cm
Answer(s): (a) 2880 cm
3; (b) 32 cm