M and N are two rectangular tanks. The base area of M is 90 cm
2 while that of N is 36 cm
2 . At first, M contained water to a height of 36 cm and N was empty, as shown.
- What was the volume of the water in M at first?
- Glen 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
= 90 x 36
= 3240 cm
3 (b)
Total base areas
= 90 + 90 + 36
= 216 cm
2 Height of water if the total base area is 216 cm
2 = 3240 ÷ 216
= 15 cm
New height of the water level in M
= 15 x 2
= 30 cm
Answer(s): (a) 3240 cm
3; (b) 30 cm