E and F are two rectangular tanks. The base area of E is 70 cm
2 while that of F is 30 cm
2 . At first, E contained water to a height of 54 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Caden then poured some water from E to F. After that, the height of the water level in E was thrice that in F. What was the new height of the water level in E?
(a)
Volume of water in E
= 70 x 54
= 3780 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 3780 ÷ 240
= 15.75 cm
New height of the water level in E
= 15.75 x 3
= 47.25 cm
Answer(s): (a) 3780 cm
3; (b) 47.25 cm