P and Q are two rectangular containers. The base area of P is 78 cm
2 while that of Q is 42 cm
2 . At first, P contained water to a height of 46 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Jack 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
= 78 x 46
= 3588 cm
3 (b)
Total base areas
= 78 x 3 + 42
= 276 cm
2 Height of water if the total base area is 276 cm
2 = 3588 ÷ 276
= 13 cm
New height of the water level in P
= 13 x 3
= 39 cm
Answer(s): (a) 3588 cm
3; (b) 39 cm