L and M are two rectangular tanks. The base area of L is 80 cm
2 while that of M is 40 cm
2 . At first, L contained water to a height of 36 cm and M was empty, as shown.
- What was the volume of the water in L at first?
- Charlie then poured some water from L to M. After that, the height of the water level in L was twice that in M. What was the new height of the water level in L?
(a)
Volume of water in L
= 80 x 36
= 2880 cm
3 (b)
Total base areas
= 80 + 80 + 40
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2880 ÷ 200
= 14.4 cm
New height of the water level in L
= 14.4 x 2
= 28.8 cm
Answer(s): (a) 2880 cm
3; (b) 28.8 cm