M and N are two rectangular containers. The base area of M is 72 cm
2 while that of N is 40 cm
2 . At first, M contained water to a height of 44 cm and N was empty, as shown.
- What was the volume of the water in M at first?
- Ian then poured some water from M to N. After that, the height of the water level in M was thrice that in N. What was the new height of the water level in M?
(a)
Volume of water in M
= 72 x 44
= 3168 cm
3 (b)
Total base areas
= 72 x 3 + 40
= 256 cm
2 Height of water if the total base area is 256 cm
2 = 3168 ÷ 256
= 12.375 cm
New height of the water level in M
= 12.375 x 3
= 37.125 cm
Answer(s): (a) 3168 cm
3; (b) 37.125 cm