P and Q are two rectangular tanks. The base area of P is 74 cm
2 while that of Q is 48 cm
2 . At first, P contained water to a height of 54 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Sean then poured some water from P to Q. After that, the height of the water level in P was thrice that in Q. What was the new height of the water level in P?
(a)
Volume of water in P
= 74 x 54
= 3996 cm
3 (b)
Total base areas
= 74 x 3 + 48
= 270 cm
2 Height of water if the total base area is 270 cm
2 = 3996 ÷ 270
= 14.8 cm
New height of the water level in P
= 14.8 x 3
= 44.4 cm
Answer(s): (a) 3996 cm
3; (b) 44.4 cm