M and N are two rectangular containers. The base area of M is 72 cm
2 while that of N is 48 cm
2 . At first, M contained water to a height of 60 cm and N was empty, as shown.
- What was the volume of the water in M at first?
- Bryan then poured some water from M to N. After that, the height of the water level in M was twice that in N. What was the new height of the water level in M?
(a)
Volume of water in M
= 72 x 60
= 4320 cm
3 (b)
Total base areas
= 72 + 72 + 48
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 4320 ÷ 192
= 22.5 cm
New height of the water level in M
= 22.5 x 2
= 45 cm
Answer(s): (a) 4320 cm
3; (b) 45 cm