D and E are two rectangular containers. The base area of D is 70 cm
2 while that of E is 40 cm
2 . At first, D contained water to a height of 44 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- Elijah then poured some water from D to E. After that, the height of the water level in D was thrice that in E. What was the new height of the water level in D?
(a)
Volume of water in D
= 70 x 44
= 3080 cm
3 (b)
Total base areas
= 70 x 3 + 40
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3080 ÷ 250
= 12.32 cm
New height of the water level in D
= 12.32 x 3
= 36.96 cm
Answer(s): (a) 3080 cm
3; (b) 36.96 cm