N and P are two rectangular tanks. The base area of N is 99 cm
2 while that of P is 50 cm
2 . At first, N contained water to a height of 31 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Dylan 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
= 99 x 31
= 3069 cm
3 (b)
Total base areas
= 99 + 99 + 50
= 248 cm
2 Height of water if the total base area is 248 cm
2 = 3069 ÷ 248
= 12.375 cm
New height of the water level in N
= 12.375 x 2
= 24.75 cm
Answer(s): (a) 3069 cm
3; (b) 24.75 cm