E and F are two rectangular containers. The base area of E is 76 cm
2 while that of F is 48 cm
2 . At first, E contained water to a height of 38 cm and F was empty, as shown.
- What was the volume of the water in E at first?
- Sam 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
= 76 x 38
= 2888 cm
3 (b)
Total base areas
= 76 + 76 + 48
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2888 ÷ 200
= 14.44 cm
New height of the water level in E
= 14.44 x 2
= 28.88 cm
Answer(s): (a) 2888 cm
3; (b) 28.88 cm