E and F are two rectangular containers. The base area of E is 72 cm
2 while that of F is 34 cm
2 . At first, E contained water to a height of 40 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Michael 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
= 72 x 40
= 2880 cm
3 (b)
Total base areas
= 72 x 3 + 34
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 2880 ÷ 250
= 11.52 cm
New height of the water level in E
= 11.52 x 3
= 34.56 cm
Answer(s): (a) 2880 cm
3; (b) 34.56 cm