P and Q are two rectangular containers. The base area of P is 70 cm
2 while that of Q is 50 cm
2 . At first, P contained water to a height of 38 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- Asher 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
= 70 x 38
= 2660 cm
3 (b)
Total base areas
= 70 + 70 + 50
= 190 cm
2 Height of water if the total base area is 190 cm
2 = 2660 ÷ 190
= 14 cm
New height of the water level in P
= 14 x 2
= 28 cm
Answer(s): (a) 2660 cm
3; (b) 28 cm