E and F are two rectangular tanks. The base area of E is 98 cm
2 while that of F is 42 cm
2 . At first, E contained water to a height of 36 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Pierre 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
= 98 x 36
= 3528 cm
3 (b)
Total base areas
= 98 x 3 + 42
= 336 cm
2 Height of water if the total base area is 336 cm
2 = 3528 ÷ 336
= 10.5 cm
New height of the water level in E
= 10.5 x 3
= 31.5 cm
Answer(s): (a) 3528 cm
3; (b) 31.5 cm