L and M are two rectangular tanks. The base area of L is 70 cm
2 while that of M is 40 cm
2 . At first, L contained water to a height of 54 cm and M was empty, as shown.
- What was the volume of the water in L at first?
- Andy 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
= 70 x 54
= 3780 cm
3 (b)
Total base areas
= 70 x 3 + 40
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3780 ÷ 250
= 15.12 cm
New height of the water level in L
= 15.12 x 3
= 45.36 cm
Answer(s): (a) 3780 cm
3; (b) 45.36 cm