D and E are two rectangular containers. The base area of D is 78 cm
2 while that of E is 49 cm
2 . At first, D contained water to a height of 41 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- Jenson then poured some water from D to E. After that, the height of the water level in D was twice that in E. What was the new height of the water level in D?
(a)
Volume of water in D
= 78 x 41
= 3198 cm
3 (b)
Total base areas
= 78 + 78 + 49
= 205 cm
2 Height of water if the total base area is 205 cm
2 = 3198 ÷ 205
= 15.6 cm
New height of the water level in D
= 15.6 x 2
= 31.2 cm
Answer(s): (a) 3198 cm
3; (b) 31.2 cm