E and F are two rectangular tanks. The base area of E is 98 cm
2 while that of F is 44 cm
2 . At first, E contained water to a height of 60 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Vincent 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
= 98 x 60
= 5880 cm
3 (b)
Total base areas
= 98 + 98 + 44
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 5880 ÷ 240
= 24.5 cm
New height of the water level in E
= 24.5 x 2
= 49 cm
Answer(s): (a) 5880 cm
3; (b) 49 cm