L and M are two rectangular tanks. The base area of L is 90 cm
2 while that of M is 30 cm
2 . At first, L contained water to a height of 56 cm and M was empty, as shown.
- What was the volume of the water in L at first?
- Nick then poured some water from L to M. After that, the height of the water level in L was thrice that in M. What was the new height of the water level in L?
(a)
Volume of water in L
= 90 x 56
= 5040 cm
3 (b)
Total base areas
= 90 x 3 + 30
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 5040 ÷ 300
= 16.8 cm
New height of the water level in L
= 16.8 x 3
= 50.4 cm
Answer(s): (a) 5040 cm
3; (b) 50.4 cm