E and F are two rectangular tanks. The base area of E is 72 cm
2 while that of F is 42 cm
2 . At first, E contained water to a height of 31 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Warren 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
= 72 x 31
= 2232 cm
3 (b)
Total base areas
= 72 + 72 + 42
= 186 cm
2 Height of water if the total base area is 186 cm
2 = 2232 ÷ 186
= 12 cm
New height of the water level in E
= 12 x 2
= 24 cm
Answer(s): (a) 2232 cm
3; (b) 24 cm