P and Q are two rectangular containers. The base area of P is 84 cm
2 while that of Q is 32 cm
2 . At first, P contained water to a height of 54 cm and Q was empty, as shown.
- What was the volume of the water in P at first?
- David 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
= 84 x 54
= 4536 cm
3 (b)
Total base areas
= 84 + 84 + 32
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 4536 ÷ 200
= 22.68 cm
New height of the water level in P
= 22.68 x 2
= 45.36 cm
Answer(s): (a) 4536 cm
3; (b) 45.36 cm