P and Q are two rectangular tanks. The base area of P is 75 cm
2 while that of Q is 36 cm
2 . At first, P contained water to a height of 31 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Oliver 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
= 75 x 31
= 2325 cm
3 (b)
Total base areas
= 75 + 75 + 36
= 186 cm
2 Height of water if the total base area is 186 cm
2 = 2325 ÷ 186
= 12.5 cm
New height of the water level in P
= 12.5 x 2
= 25 cm
Answer(s): (a) 2325 cm
3; (b) 25 cm