E and F are two rectangular tanks. The base area of E is 74 cm
2 while that of F is 44 cm
2 . At first, E contained water to a height of 48 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Julian 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
= 74 x 48
= 3552 cm
3 (b)
Total base areas
= 74 + 74 + 44
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 3552 ÷ 192
= 18.5 cm
New height of the water level in E
= 18.5 x 2
= 37 cm
Answer(s): (a) 3552 cm
3; (b) 37 cm