P and Q are two rectangular tanks. The base area of P is 94 cm
2 while that of Q is 47 cm
2 . At first, P contained water to a height of 42 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Howard then poured some water from P to Q. After that, the height of the water level in P was twice that in Q. What was the new height of the water level in P?
(a)
Volume of water in P
= 94 x 42
= 3948 cm
3 (b)
Total base areas
= 94 + 94 + 47
= 235 cm
2 Height of water if the total base area is 235 cm
2 = 3948 ÷ 235
= 16.8 cm
New height of the water level in P
= 16.8 x 2
= 33.6 cm
Answer(s): (a) 3948 cm
3; (b) 33.6 cm