P and Q are two rectangular containers. The base area of P is 72 cm
2 while that of Q is 34 cm
2 . At first, P contained water to a height of 44 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Jeremy 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
= 72 x 44
= 3168 cm
3 (b)
Total base areas
= 72 x 3 + 34
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3168 ÷ 250
= 12.672 cm
New height of the water level in P
= 12.672 x 3
= 38.016 cm
Answer(s): (a) 3168 cm
3; (b) 38.016 cm