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 42 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Luke then poured some water from N to P. After that, the height of the water level in N was thrice that in P. What was the new height of the water level in N?
(a)
Volume of water in N
= 72 x 42
= 3024 cm
3 (b)
Total base areas
= 72 x 3 + 36
= 252 cm
2 Height of water if the total base area is 252 cm
2 = 3024 ÷ 252
= 12 cm
New height of the water level in N
= 12 x 3
= 36 cm
Answer(s): (a) 3024 cm
3; (b) 36 cm