D and E are two rectangular containers. The base area of D is 74 cm
2 while that of E is 44 cm
2 . At first, D contained water to a height of 36 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- Caden 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
= 74 x 36
= 2664 cm
3 (b)
Total base areas
= 74 + 74 + 44
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 2664 ÷ 192
= 13.875 cm
New height of the water level in D
= 13.875 x 2
= 27.75 cm
Answer(s): (a) 2664 cm
3; (b) 27.75 cm