L and M are two rectangular tanks. The base area of L is 97 cm
2 while that of M is 46 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?
- Cody 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
= 97 x 54
= 5238 cm
3 (b)
Total base areas
= 97 + 97 + 46
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 5238 ÷ 240
= 21.825 cm
New height of the water level in L
= 21.825 x 2
= 43.65 cm
Answer(s): (a) 5238 cm
3; (b) 43.65 cm