E and F are two rectangular containers. The base area of E is 90 cm
2 while that of F is 45 cm
2 . At first, E contained water to a height of 46 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Fabian then poured some water from E to F. After that, the height of the water level in E was twice that in F. What was the new height of the water level in E?
(a)
Volume of water in E
= 90 x 46
= 4140 cm
3 (b)
Total base areas
= 90 + 90 + 45
= 225 cm
2 Height of water if the total base area is 225 cm
2 = 4140 ÷ 225
= 18.4 cm
New height of the water level in E
= 18.4 x 2
= 36.8 cm
Answer(s): (a) 4140 cm
3; (b) 36.8 cm